Quantitative Aptitude Ques 2415

Question: A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is

Options:

A) 11

B) 21

C) 28

D) 42

Show Answer

Answer:

Correct Answer: B

Solution:

  • (A’s 1 day’s work): (B’s 1 day’s work) = 2 : 1 (A + B)’s 1 day’s work $ =\frac{1}{14} $ Divide $ =\frac{1}{14} $ in the ratio 2: 1

$ \therefore $ As 1 day’s work $ =( \frac{1}{14}\times \frac{2}{3} )=\frac{1}{21} $ Hence, A alone can finish the work in 21 days.