Arithmetic Aptitudes › Time and Work › Question #4645
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QIf A is twice as good a workman as B and they can finish a piece of work in 18 days together, how long will it take for A to complete the work alone ?

ID: #4645 Time and Work 163 views
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  • A 35 ✔ ✖
  • B 27 ✔ ✖
  • C 24 ✔ ✖
  • D 19 ✔ ✖
Correct Answer: Option B

Explanation

A is twice as good a workman as B, so the ratio of A's work to B's work is 2 : 1.

A and B can finish the work in 18 days, 

so the amount of work they complete in 1 day is (1/18) of the total work.

We can divide the amount of work they complete in 1 day in the ratio 2 : 1, 

with A completing 2/3 and B completing 1/3.

Therefore, A's 1 day's work is (1/18) * (2/3) = 1/27 of the total work.

Since A completes (1/27) of the total work in 1 day, it will take him 27 days to complete the entire work.
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