A is Thrice as Good a Workman as B and Takes 10 days Less to do a Piece of Work GMAT Problem Solving

Question: A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the whole work in

1. 15 days
2. 10 days
3. 9 days
4. 8 days
5. 6 days

‘A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes.’ - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “Official Guide for GMAT Reviews”. To solve GMAT Problem Solving examiners measure how well the candidates make analytical and logical approaches to solve numerical problems. In this section, candidates have to evaluate and interpret data from given graphical representation. In this section, mostly one finds out mathematical questions. Five answer choices are given for each GMAT Problem solving question.

Solution and Explanation:

Approach Solution 1:

There is only one approach to solve the problem statement.

Let the work efficiency ratio of A: B be 3:1
Considering B takes x days to do the work. Now as the question states,
A takes x-10 days to do the same work.
Therefore, the time ratio and efficiency ratio becomes inversely proportional. So the equation becomes
\(\frac{x-10}{x}= \frac{1}{3}\)
implies that x = 15
Therefore, B can finish the work in 15 days.
Hence option A is the correct answer.

Correct Answer: A

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