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 X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

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 X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

A). 12 days

B). 13 1/3 days

C). 18 days

D). 21 1/3 days


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Answered by on | Votes 0 |

13 1/3 days




A’s 8 day’s work = 1/40 × 8 = 1/5 

Remaining work = 4/5 

4/5 of the work is finished by Y in 16 days’ 

So, Y can finish the whole work alone in 16 ×5/4 days = 20days 

They both together can finish it in 40 × 20/60 =13 1/3 days.

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