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Work Problems

Categories : Work Problems

MBA Work Related Problem
A man working for 8 hours a day can complete a job in 12 days. He is paid a sum of $150 per day. Three women work as efficiently as two men, but are paid a sum of $10 per hour. A contractor needs to finish the job in 6 days. He has to decide between employing men or women. How much money will he save, if he employs women to do the job instead of men?



Answer

a) $320
b) $340
c) $360
d) $380
e) $400

Solution: The trick to solve Work related questions is to try and equate the amount of work done by the two set of people, to arrive at a common point for the duration of work to be completed.

A man can finish the work in 12 days

Therefore, two men can finish the same piece of work in 6 days.

Three women work as efficiently as two men, thus, three women can complete the piece of work in 6 days.

Amount to be paid to two men for 6 days = 2 * 6 * $150 = $1800

Amount to be paid to three women for 6 days = 3 * 8 * 6 * $10 = $ 1440

Amount of money saved...


Work Rate ProblemsCarefully go through the following question types. These are the standard work rate problems that you would encounter in your GMAT Exam.

Working Together

In questions where individuals work at different speeds, we typically need to add their separate rates together. Make sure you keep your units straight. This doesn’t mean wasting time and writing each and every one out, but rather simply recognizing their existence. Note that when working together, the total time to complete the same task will be less than BOTH of the individual rates, but not necessarily in proportion. Nor, are you averaging or adding the given times taken. You must add rates.

Q) A worker can load 1 full truck in 6 hours. A second worker can load the same truck in 7 hours. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill 1 truck?

A. 0.15
B. 0.31
C. 2.47
D. 3.23
E. 3.25

The rate of worker #1 is 1 truck/6 hours. This can also be 1/6 trucks/1 hour. The rate of worker #2 is 1/7. When together, they will complete 1/6 + 1/...


X and Y, two computer engineers, built identical websites at different constant rates. X, working alone for 7 hours, built some of the website; then Y, working alone for 6 hours, built the rest of the website. How many hours would it have taken X, working alone, to build all of the website?

1. X built one part 15 minutes
2. X built four times as many parts in 7 hours as Y built in 6 hours

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Answer

Statement 2 provides us with an equation relating the two rates: 7X = 4(6Y).

We can simplify this formula to get one rate in terms of the other. The first step is to calculate the expression on the right-hand side: 7X = 24Y.

Now divide both sides by 24: 7/24 X=Y.

Statement 2 is sufficient on its own.

Correct Answer B




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