Question: A can complete a certain job in 12 days. B is 60% more efficient than A. In how many days can B complete the same job?

(A) 6
(B) 6.25
(C) 7
(D) 7.5
(E) 4.8

Answer: D
Solution and Explanation:

Approach Solution 1:

Given that A can complete the given task in 12 days. B is 60% more efficient than A. So we are asked to find out how many days B will take to complete the same job.

A total work unit can be 120 units.
A can do the task in 12 days, or 120 units of work, while B can complete the task in 1 day, or 10 + (60/100)*10, or 16 units of work.
The number of days that B will need to finish the job by themselves is 120/16 = 30/4 or 7.5 days.

D is the correct answer.

Approach Solution 2:

Given that A can complete the given task in 12 days. B is 60% more efficient than A. So we are asked to find out how many days B will take to complete the same job.
A should do 10 units of work each day.
B will do 16 units of labor per day since B is 60% more productive than A.
A may complete the work in 12 days, hence, the total work period is 12 x 10 or 120 days.
B took 120/16, or 7.5 days, to finish the identical task.
Therefore, the right response is D

Approach Solution 3:

Given that A can complete the given task in 12 days. B is 60% more efficient than A. So we are asked to find out how many days B will take to complete the same job.
Work completed by A in 1 day equals 1 / 12
Given B is 60% more efficient.
Work done by B = 1.6x 1 / 12
because B is 60% more efficient.
As a result, B needed 7.5 days to finish the task, or 12 / 1.6
12 / 1.6 = 7.5
D is the correct answer.

“A can complete a certain job in 12 days. B is 60% more efficient than" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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