What is Time and Work? Time and work Formulas with examples

By: Admin | Posted on: Apr 6, 2020

Time and Work is an important topic of the arithmetic section for all Banking Railways and SSC exams. Here we are sharing some problems based on time and work, asked in various government exams.

Also, we are sharing various approaches that one can follow to solve Time and Work questions quickly. For better understanding, we split this article into two parts. In the first part, we will discuss the basic approach of Time and work with formulas, explanations, examples and see how the terms are related. In the second part, we will explain the examples.

More importantly, we will discuss basics questions asked in competitive exams and how we can solve them using the general process as well as the quick Shortcut approach.

 

Part 1 (Time and work Concepts)

 

Time and work is an important section of quantitative aptitude, where conceptual clarity of the relationship between working efficiency and time is very critical to understand.

Working Efficiency

Working efficiency is the work done by an individual in one day and this efficiency is inversely proportional to the number of the days to complete a job. It means that a person who takes fewer days to complete a job is said to be more efficient as compared to the other than a man who takes more days to complete the same job.

 

This relationship can be explained with the help of the following example:

If A can do a piece of work in 3 days and B can do the same work in 6 days, then in how many days they both will take to finish the work.

It is given that A body does a work in 10 days, hence the working efficiency of A is 1/3 work in one day. Similarly working efficiency of B 1/6work in one day. hence combined working efficiency of both of them in one day = (1/3+ 1/6) =1/2 work.

In other words, both of them working together will complete the work in 1/2 in one day.

Therefore, they will complete 1 work in 1/2 days.

 

From the above illustration, we conclude the following Results

  • Working efficiency is directly proportional to the number of persons assigned to complete the task or job.
  • Working efficiency is inversely proportional to the number of days taken to complete a task or job.

Hence, if A does one work in 3 days and B does the same work in 6 days, then A is said to be twice as efficient as B.

These results can be used to find quick solutions for some important questions

 

Time and Work Formulas

Below are some important formulae to solve some common problems of Time and work.

How do you calculate time and work?

We can solve or calculate Time and work problems using the following formulae, these are the most common and basic approaches to solve any tricky as well as simple problems for Time and work.

 Workandday


What is the easiest way to solve time and work questions?

Quick Tricks & Tips:

If ‘M' is 'x' times as good a workman as 'N', then
a) The ratio of work done by M&N in equal time = x: 1
b) The ratio of time taken by M&Nto complete the work = 1: x. This means that 'M' takes (1/xth) time as that of 'N' to finish the same amount of work.

For example,
if M is twice efficient as good a workman as N, then it means that

a) M does twice efficient to perform work as done by N in equal time i.e. M: N = 2:1
b) M finishes his work in half the time as compared to N

Chain Rule:

Time and Work - Chain Rule Govtjobposts.in

the chain rule help to make the following relationship using the above formula we have :

  1. Relationship between Men and Work.

More men ----------------> can perform-----------------> more work in more time

Less men ----------------> can perform ---------------> Less work in more time

  1. Relationship between Work and Time

More work ----------------------->takes -----------------------> a lot of time to complete the task

Less work  ---------------> takes -------------------->Less Time to complete the task

  1. Relationship between Men and Time

More men ----------------->can do the task -----------------------> in more time

Less men  -----------------> can do the task -----------------------> in more time

  1. X men can do a job in 1(t1) days and y man in 2 (t2)days, then (p men + q women) can do the work in.

Time and Work Formula

       5. x men or y women can do a work in t days, then (p men + q women) can do the same work in?

Time and Work Formula

        6. If a person X can do a work in ‘n’ days and X+BYtogether can do it in ‘T’ days, then Y alone can finish the work= {(T * n )/ (n-T ) }days.

Time and Work Formula

Time and work(Formulae)

Combined Work:

a) If 'M ' and 'N'can finish the work in 'x' & 'y' days respectively, then

Combined Work-1

b) If 'M', 'N' & 'O' can complete the work in x, y & z days respectively, then


Combined Work-2 
c) If M can do a work in 'x' days and if the same amount of work is done by M & N together in 'y' days, then

 COmbinedWork3


d) If M & N together perform some part of work in 'x' daysN & O together perform it in 'y' days and O & M together perform it in 'z' days, then

CombinedWork21

If M works alone, then deduct M's work from the total work of N & O to find the time taken by M alone.

For M working alone, the time required will be =M's work - (M+N+O)'s combined work.

Combinedwork4

 

e) Man -Work -Hour related problems:

Man-Work-Hour Problems

where,
M: Number of Men
D: Number of Days
H: Number of Hours
W: total Amount of Work done

If men are fixed, and the work is proportional to time. If work is fixed, then the time is inversely proportional to men. Thus we can conclude below results,

Men-Work-Hour_2

Below are some important and simple concepts related to Time and Work.

a) Work and time both are directly proportional to each other.
b) The number of men and time both are inversely proportional to each other.
c) And, work can be divided into equal parts It means if a task is completed in 5 days, one day you will finish (1/5th) part of the work.

 Try Free Online Quiz of Time and Work concepts in our free online test section here.

 

Part 2 (Time and work Solved Problems)

 

Below are some examples to try.

Time and Work Example - Govtjobposts.in

 

Have a keen look at the solution approach, this is one of the shortest approaches to the solution.

Time and Work Example 4 GovtJobPosts.in

Example 5: A can fabricate a divider in 40 days, while B alone can assemble it in 30 days If they construct it together and get an installment of RS. 7000, what B's offer?

Solution

A's 1 days work = 1/40,

B's 1 day work = 1/30,

Proportion of their shares = 1/40:1/30 = 3:4

B's offer = (7000*4/7) = Rs. 4000

 

Author: Ashwani Kumar. 

Ashwani Kumar is having more than 4 years of experience in preparing students on various government exams. Post your questions in the comment section and let our experts answer them.

All the best.


Tags : Time and work questions time and work tricks Time and Work Formula Time and work concepts and all

07-Apr-2020

MOHD HARIS

Explainded in a very detailed way. Elaborating with example made it easy for me to understand quickly.

07-Apr-2020

Shariq Ali

All the concepts and their formulae are described very well with proper examples which made it easy to understand.

08-Apr-2020

Tushar Sharma

Nice

16-Apr-2021

MyronPlaup

personals free dating websites new

18-Apr-2021

RolandFiree

lasix 40mg https://lasixst.com/# lasix for sale generic lasix

02-May-2021

JavierFlafe

tinder sign up , tindr what is tinder

05-May-2021

Ukakah

stromectol prices - stromectol 12mg ivermectin 18mg

05-May-2021

Buuucc

buy ivermectin uk - ivermecpls.com ivermectin 0.08

07-May-2021

Ydwxwb

stromectol pill for humans - site buy ivermectin canada

09-May-2021

Igqfnv

ivermectin 0.5 - ivermectin virus stromectol usa

10-May-2021

JavierFlafe

tinder dating app , tinder sign up tindr

11-May-2021

Hswsqb

plavix brand name coupon - plavix for sale online purchase plavix

14-May-2021

Vmgfpu

mr happy ed pill - ed pill rx reviews ed pill active ingredients

18-May-2021

Kkdhus

sildenafil zonder recept apotheek - wat gebeurt er als je teveel viagra slikt wat is een goede vervanger voor viagra

20-May-2021

Fxtslj

viagra 200 mg - comprar viagra foro generico de viagra

21-May-2021

Swhewc

buy bactrim online with no prescription - bactrim prices bactrim for sale

23-May-2021

Tgkkgx

buy soft cialis - cialis professional 20 canadian pharmacy drugs online

26-May-2021

Ibtvjn

buy cialis over the counter in canada - super active cialis online cialis tablets 20mg australia

27-May-2021

Bmsdlt

duloxetine brand coupon - cymbalta lexapro duloxetine 90 mg

29-May-2021

Zxitfh

1 mg synthroid - levothyroxine 0.5 mcg synthroid 175 mg

31-May-2021

Qnxybt

amoxicillin drug - amoxicillin 500mg capsules for sale generic name for amoxil

02-Jun-2021

what is tadalafil

tadalafil https://nextadalafil.com/ generic tadalafil tadalafil tablets

02-Jun-2021

tadalafil online

buy tadalafil us https://pulmoprestadalafil.com/ tadalafil pills order tadalafil

02-Jun-2021

buy tadalafil us

tadalafil online https://tadalafilgenc.com/ 40 mg tadalafil generic tadalafil 40 mg

02-Jun-2021

tadalafil daily use

tadalafil dosage https://extratadalafill.com/ generic tadalafil tadalis sx

02-Jun-2021

tadalafil 40

tadalafil pills https://superactivetadalafil.com/ tadalafil 40 mg tadalafil

02-Jun-2021

Uqveww

buy vardenafil online no prescription - vardenafil online us pharmacy buy cheap vardenafil uk

04-Jun-2021

Rhyeza

free vardenafil - levitra 20 mg vardenafil tablets

05-Jun-2021

buy tadalafil us

tadalafil pills 20mg https://tadalafilgenc.com/ tadalafil 40 mg from india generic tadalafil united states

06-Jun-2021

Pujndd

canadian pharmacy coupon code - cipa canadian pharmacy legit canadian online pharmacy

06-Jun-2021

tadalafil generic

tadalafil max dose https://pulmoprestadalafil.com/ tadalafil pills 20mg tadalafil 40

07-Jun-2021


07-Jun-2021

generic tadalafil 40 mg

tadalafil 40 mg daily https://extratadalafill.com/ tadalafil tablets generic tadalafil united states

07-Jun-2021

tadalafil max dose

tadalafil 30 mg https://superactivetadalafil.com/ tadalafil pills 20mg generic tadalafil 40 mg

07-Jun-2021

generic tadalafil united states

tadalafil pills https://nextadalafil.com/ tadalafil online tadalafil pills 20mg

07-Jun-2021


07-Jun-2021

Pay Day Loan

low interest loan

08-Jun-2021

Ervuyc

cialis generic in us - cialis professional buy cialis pills in canada

08-Jun-2021


08-Jun-2021

Quick Loan

loan estimate


08-Jun-2021

Online Payday Loan

money today

08-Jun-2021


08-Jun-2021

Payday Loans

loan service

08-Jun-2021


08-Jun-2021


09-Jun-2021

Loans Online

cash till payday loans

09-Jun-2021


09-Jun-2021



10-Jun-2021

Payday Loan Online

loan application

10-Jun-2021


10-Jun-2021

Gjlhtk

where can you buy viagra over the counter uk - where can i purchase sildenafil sildenafil generic in united states

11-Jun-2021


11-Jun-2021




11-Jun-2021



11-Jun-2021

Payday Express

cash payday payday loan bad

12-Jun-2021


12-Jun-2021


12-Jun-2021

Rosall

vardenafil free sample - http://erectylelvt.com/ vardenafil commercial

12-Jun-2021


12-Jun-2021


12-Jun-2021

Best Payday Loan

loan site




13-Jun-2021

Online Payday Loan

payday loans california

13-Jun-2021

LisaAlink

20 mg levitra cost

13-Jun-2021

Online Loans

payday loans quick


13-Jun-2021

Speedycash

cash quick


13-Jun-2021

Qbnzsi

vardenafil 20 mg - vardenafil online buy vardenafil online uk

14-Jun-2021

Speedycash

payday loans oregon

14-Jun-2021




14-Jun-2021

AmyAlink

zoloft tabs



14-Jun-2021


14-Jun-2021


15-Jun-2021



15-Jun-2021

Pay Day Loan

payday now loans

15-Jun-2021


15-Jun-2021

Payday Loan Online

emergency loan

15-Jun-2021


15-Jun-2021


16-Jun-2021

Pieifz

stromectol order - ivermectin buy uk cost for ivermectin 3mg



16-Jun-2021

Getting A Loan

payday loans in ga

16-Jun-2021

Get A Loan

loan policy

16-Jun-2021


17-Jun-2021

Pay Day Loans

delaware payday loans

17-Jun-2021

Fastest Payday Loan

local payday loans

17-Jun-2021

Ogmecm

mexico pharmacy viagra - sildenafil 2 mg cost where can i buy viagra in canada

17-Jun-2021


18-Jun-2021



19-Jun-2021

Online Loans

best payday loan

19-Jun-2021


19-Jun-2021

Money Loan

loan fast

19-Jun-2021

Beiapv

10mg cialis online - cialis usa prescription cheapest generic cialis 20mg


20-Jun-2021



20-Jun-2021


20-Jun-2021

Quick Loan

payday lending


21-Jun-2021

AmyAlink

200 mg cialis

21-Jun-2021

Kjntdb

prednisone pill 10 mg - prednisone 30 mg daily buy prednisone online usa

22-Jun-2021

Best Payday Loan

advance

22-Jun-2021

LisaAlink

viagra wholesale


23-Jun-2021

Direct Lender Loans

loan to pay off credit cards

23-Jun-2021


23-Jun-2021

Speedy Cash

usa cash loans

23-Jun-2021


23-Jun-2021

Kfqlmx

buy 40 mg vardenafil - vardenafil effectiveness is vardenafil generic

23-Jun-2021


24-Jun-2021


24-Jun-2021

AmyAlink

stromectol pill

24-Jun-2021

Loans

loan cash


25-Jun-2021

LisaAlink

cialis 10mg canada



25-Jun-2021

Yurerf

buy lyrica 50 mg - lyrica tablet cost 250 mg lyrica

25-Jun-2021

Paydayloan

payday loan

26-Jun-2021




26-Jun-2021


27-Jun-2021

Direct Lender Loans

same day cash loans cash loans

27-Jun-2021

Direct Lender Loans

indiana payday loans

27-Jun-2021


27-Jun-2021



27-Jun-2021

Ljzwyy

buy zithromax pills - buy azithromycin azithromycin

27-Jun-2021


27-Jun-2021

Online Lenders

lending tree loan



28-Jun-2021


29-Jun-2021


29-Jun-2021


29-Jun-2021

Fqbwpv

generic prednisolone - prednisolone 25 mg price australia buy online 10mg prednisolone


29-Jun-2021

thotoubattZow

tadalafil side effects https://tadalafilttab.com/ - cheapest tadalafil cost tadalafil uses


30-Jun-2021

Payday Loan Online

loans com

30-Jun-2021

Loans For Bad Credit

no guarantor loans

30-Jun-2021

Payday Loan

quick payday loans


30-Jun-2021


30-Jun-2021


30-Jun-2021


30-Jun-2021

Get A Loan

vacation loans

01-Jul-2021




01-Jul-2021

Online Lenders

bad credit loans reviews

01-Jul-2021


01-Jul-2021



01-Jul-2021

Crjaai

stromectol pills canada - ivermectin 2% ivermectin otc

01-Jul-2021

AmyAlink

stromectol price

01-Jul-2021

Loans For Bad Credit

quick loans for bad credit

02-Jul-2021

Payday Loan Online

payday loans direct lender

02-Jul-2021


02-Jul-2021

Best Online Loans

loans with no credit

02-Jul-2021

Online Lenders

loans unsecured


02-Jul-2021

Mecoqa

generic viagra online pharmacy usa - real viagra online no preion where can i buy 1 viagra pill

02-Jul-2021


02-Jul-2021


03-Jul-2021

Instant Online Loans

credit personal loans


03-Jul-2021

Spotloan

loans no credit


04-Jul-2021

Payday Loans Online

debt consolidation loan

04-Jul-2021

Getting A Loan

direct loans

04-Jul-2021



04-Jul-2021



04-Jul-2021


04-Jul-2021

Rckgkc

order lasix online cheap - order lasix without a prescription doxycycline prescription cost

04-Jul-2021

Pay Day Loans

cash advance today


04-Jul-2021


04-Jul-2021


04-Jul-2021





05-Jul-2021


06-Jul-2021

KiaAlink

cialis rx cost



06-Jul-2021

Aiikjg

dapoxetine pills - tadalafil 5mg daily canadianpharmacymeds com

07-Jul-2021


07-Jul-2021

KiaAlink

buy cialis india

07-Jul-2021



08-Jul-2021

AmyAlink

viagra uk order

08-Jul-2021

Vluyik

ed pill on shark tank - best over the counter erectile dysfunction pills ed remedies



09-Jul-2021




09-Jul-2021

Bleccd

prednisone 543 - prednisone 50 mg coupon prednisone tablets 5mg price

09-Jul-2021


10-Jul-2021



11-Jul-2021

Mixqth

modafinil 100mg - provigil for sale buy provigil online

11-Jul-2021


11-Jul-2021


11-Jul-2021


12-Jul-2021

LisaAlink

viagra gel online

12-Jul-2021

Vbpiek

where to get accutane in south africa - buy accutane cheap online where can i get accutane uk


12-Jul-2021



13-Jul-2021


13-Jul-2021


13-Jul-2021

Lxyotc

amoxicillin brand over the counter - gnamoxicill.com amoxicillin 500 mg

13-Jul-2021




14-Jul-2021

Pxipok

where to buy vardenafil over the counter - buy vardenafil with no prescription buy vardenafil online paypal

14-Jul-2021





15-Jul-2021

Eshwlm

ivermectin lotion for lice - ivermectin 6mg buy ivermectin for humans

16-Jul-2021


16-Jul-2021


16-Jul-2021


16-Jul-2021

Vtqoea

south africa cialis - tadalafil tablets cheap cialis professional



17-Jul-2021


17-Jul-2021

Djljvj

ivermectin gel - ivermectin 250ml

17-Jul-2021



18-Jul-2021



18-Jul-2021

Mkfyic

5 accutane cream - accutane 40mg where can i get accutane




19-Jul-2021


19-Jul-2021

KiaAlink

buy lasix 40 mg

19-Jul-2021

Wklhxi

lyrica 50 mg coupon - canada drugs online pharmacy india



20-Jul-2021

Vmlude

walmart price for amoxicillin - amoxicillin pneumonia buy amoxicilin 500 mg online canada


20-Jul-2021


20-Jul-2021










21-Jul-2021

Wpwwcd

buy viagra tablet - male ed pills sildenafil buy without prescription


21-Jul-2021

JaneAlink

china viagra




22-Jul-2021


22-Jul-2021


22-Jul-2021







22-Jul-2021


22-Jul-2021

JaneAlink

rx viagra


23-Jul-2021

Sporeq

purchase cialis in australia - where to buy cheap tadalafil cheapest pharmacy prescription drugs




23-Jul-2021



23-Jul-2021



23-Jul-2021



24-Jul-2021

Wlwhbp

ivermectin tablets uk - ivermectin 9mg stromectol for human

24-Jul-2021


24-Jul-2021


24-Jul-2021


24-Jul-2021


24-Jul-2021

LisaAlink

antabuse medicine

24-Jul-2021



24-Jul-2021

JaneAlink

modafinil online

24-Jul-2021




24-Jul-2021


25-Jul-2021


25-Jul-2021


25-Jul-2021


25-Jul-2021


25-Jul-2021


25-Jul-2021

AlanAlink

ivermectin otc

25-Jul-2021

JaneAlink

stromectol generic

25-Jul-2021

MiaAlink

ivermectin 0.08

25-Jul-2021

MiaAlink

ivermectin 0.5

25-Jul-2021

Kudtjr

prednisone medication - can you buy prednisone over the counter in mexico prednisone 10mg tablets

25-Jul-2021


25-Jul-2021

SueAlink

stromectol

25-Jul-2021


25-Jul-2021


25-Jul-2021

DenAlink

ivermectin 5

25-Jul-2021

PaulAlink

ivermectin

25-Jul-2021

AlanAlink

stromectol 3 mg

25-Jul-2021


25-Jul-2021

JaneAlink

ivermectin 90 mg

25-Jul-2021

EyeAlink

stromectol covid

25-Jul-2021

SueAlink

ivermectin 50 mg

26-Jul-2021


26-Jul-2021


26-Jul-2021

SueAlink

ivermectin 3 mg

26-Jul-2021


26-Jul-2021


26-Jul-2021

IvyAlink

ivermectin 5

26-Jul-2021


26-Jul-2021

CarlAlink

stromectol uk buy

26-Jul-2021


26-Jul-2021


26-Jul-2021

DenAlink

ivermectin 4


26-Jul-2021


26-Jul-2021

MiaAlink

ivermectin otc

26-Jul-2021


26-Jul-2021


27-Jul-2021


27-Jul-2021

Fzfoxj

modafinil and caffeine - modapls.com order modafinil online

27-Jul-2021

MiaAlink

ivermectin 0.5%

27-Jul-2021


27-Jul-2021


27-Jul-2021


27-Jul-2021

IvyAlink

ivermectin pills

27-Jul-2021

JaneAlink

ivermectin human

27-Jul-2021


27-Jul-2021


27-Jul-2021


27-Jul-2021

JaneAlink

ivermectin

27-Jul-2021


27-Jul-2021

PaulAlink

stromectol tablets

27-Jul-2021


27-Jul-2021


27-Jul-2021

IvyAlink

ivermectin 9 mg

27-Jul-2021

AlanAlink

ivermectin 1 cream

27-Jul-2021


27-Jul-2021

JaneAlink

stromectol pills

27-Jul-2021


28-Jul-2021



28-Jul-2021


28-Jul-2021


28-Jul-2021

JaneAlink

stromectol cvs

28-Jul-2021


28-Jul-2021

IvyAlink

stromectol

28-Jul-2021


28-Jul-2021


28-Jul-2021


28-Jul-2021


28-Jul-2021


28-Jul-2021


28-Jul-2021


28-Jul-2021

MarkAlink

ivermectin lotion

28-Jul-2021


28-Jul-2021

Rvyovb

azithromycin 250mg online - fastzimax generic zithromax 250mg

29-Jul-2021


29-Jul-2021


29-Jul-2021


29-Jul-2021


29-Jul-2021


29-Jul-2021


29-Jul-2021


29-Jul-2021


29-Jul-2021


29-Jul-2021


29-Jul-2021

IvyAlink

ivermectin 0.5

29-Jul-2021


29-Jul-2021


29-Jul-2021

IvyAlink

ivermectin virus

29-Jul-2021


29-Jul-2021

JaneAlink

ivermectin price

29-Jul-2021


29-Jul-2021

AlanAlink

buy ivermectin

29-Jul-2021


30-Jul-2021


30-Jul-2021


30-Jul-2021


30-Jul-2021

AmyAlink

ivermectin 2%

30-Jul-2021

IvyAlink

ivermectin india

30-Jul-2021


30-Jul-2021

MiaAlink

ivermectin uk

30-Jul-2021

JudyAlink

ivermectin 3mg tab

30-Jul-2021

JaneAlink

ivermectin cost

30-Jul-2021

Dpgbzl

buy lasix without presciption - lasix 20g furosemide\purchase

30-Jul-2021


30-Jul-2021

SueAlink

ivermectin rx

30-Jul-2021

MiaAlink

ivermectin brand

30-Jul-2021


30-Jul-2021


30-Jul-2021


30-Jul-2021

JaneAlink

ivermectin buy

30-Jul-2021


Leave a Comment