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A is twice as good a workman as B and together they finish a piece of work in 22 days. In how many days will A alone finish the same work?

1. 30 days
2. 44 days
3. 33 days
4. 11 days

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Correct Answer - Option 3 : 33 days


A is twice as good as B

Time is taken to finish work = 22 days


A is twice as good as B

A can complete the given work in half time of B

Suppose B can complete work in 2x days

Then, A can complete the work in 2x/2 = x days

According to the question.

⇒ (1/x) + (1/2x) = 1/22

⇒ (1 + 2)/2x = 1/22

⇒ 3/2x = 1/22

⇒ x = 33 days

∴ A alone can finish the given work in 33 days

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