# Work Problem Basics

Work problem is another common topic tested during GMAT . About 2-4 questions are asked from this topic. Work is a specific task assigned to one or more persons that are required to be completed in 'n' amount of time.

Here n is represented as days.

Suppose Jim works for N days then he can do 1/N of the work in 1 day
Suppose Tim work for M days then he can do 1/M of the work in 1 day

Now if Jim and Tim works together for 1 day then they can do ( 1/N + 1/M ) work in 1 day

So in 1 day then can do (M+N)/M*N

Now lets plug in some real numbers

N=10

M=20

In 1 day Jim and Tim can do 30/200 of the total work, represented as (30/200 )* W
where 'W' is the total work.

(30/200) x w = 1 day

So W will be completed in (1 * 200)/30  days

Note :This is the reciprocal of the fraction of work that is completed in 1 day

The work problems involves multiple workers working for many days. In these scenarios remember the formula

Work Done = W/(M*D*H)

Where W is the total work done , M is the number of men involved in the work , D is the number of days to complete the work and H the number of hours put in by the workers.

Q: 15 men working 4 hours a day can completely build a swimming pool with length 100 meters, breadth 50 meters and height 10 meters in 10 days. How many days will 25 men working 10 hours a day required to build a swimming pool with length 50 meters ,breadth 25 meters and height 5 meters.

Solution :This problem can be directly solved using the formula mentioned above.

Only thing to note here is that W = Volume of the swimming pool that is being created

15 men 4 hours/day 10 days        -------> W = 100*50*10
25 men 10 hours/day n days        -------> W = 50*25*5

Now equating using the formula W/(M*D*H) we can write

(100*50*10)/(15*10*4) = (50*25*5)/(25*10*n)

n = 3/10 days

Therefore the total number of days to complete a swimming pool with length 50 meters ,breadth 25 meters and height 5 meters is 0.3 days(3/10)

1. Complete GMAT RC Questions in less than 1 minute and 50 seconds
3. Take Notes Effectively
4. Collect and Interpret Facts
5. Speed up Summary Creation
6. Remember Information
7. Question the Author

12. Learn to Answer GMAT organization of passage Question
13. Learn to identify the style/tone or attitude of the author

Mastering GMAT Critical Reasoning

After you read F1GMAT’s Mastering GMAT Critical Reasoning Guide, you will learn:

How to overcome flawed thinking in GMAT Critical Reasoning?

How to spot Inconsistencies in Arguments

How to eliminate out of scope answer choices using Necessary and Sufficient Conditions

How to Paraphrase GMAT Critical Reasoning Question

How to Answer Assumption Question Type

How to Answer Conclusion Question Type

How to Answer Inference Question Type

How to Answer Strengthen Question Type

How to Answer Weaken Question Type

How to Answer bold-faced and Summary Question Types

How to Answer Parallel Reasoning Questions

How to Answer the Fill in the Blanks Question

Get F1GMAT's Newsletters (Best in the Industry)

• Ranking Analysis
• Post-MBA Salary Trends
• Post-MBA Job Function & Industry Analysis
• Post-MBA City Review
• MBA Application Essay Tips
• School Specific Essay Tips
• GMAT Preparation Tips