Quantitative Aptitude Ques 1626

Question: Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked $ \frac{1}{3} $ as efficiently as he actually did, the work would have been completed in 3 days. A alone could complete the work in

Options:

A) $ 5\frac{1}{4}days $

B) $ 6\frac{1}{4}days $

C) $ 7\frac{1}{2}days $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] Let A’s 1 days work = x and B’s 1 day’s work = y. Then, $ x+y=\frac{1}{5} $ and $ 2x+\frac{1}{3}y=\frac{1}{3} $ On solving, we get $ x=\frac{4}{25} $ and $ y=\frac{1}{25} $ A’s 1 day’s work $ =\frac{4}{25} $ So, A alone could complete the work in $ \frac{25}{4}or6\frac{1}{4}days $
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