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 Xavier can do a job in 40 days. He worked on it for 5 days and then Paes finished it in 21 days. In how many days Xavier and Paes can finish the work?

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 Xavier can do a job in 40 days. He worked on it for 5 days and then Paes finished it in 21 days. In how many days Xavier and Paes can finish the work?

A). 5 days

B). 15 days

C). 25 days

D). 35 days


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Answered by on | Votes 0 |

15 days



Xavier’s one day’s work = 1/40

His 5 days work = 1/40 × 5 = 1/8 

The work remaining = 1 – 1/8 = 7/8 

7/8 of the work is done by Paes in 21 days 

Then, his 1 day’s work = 7/8/21 = 7/21 × 8 = 1/24

Therefore, the time taken by Paes to finish the whole work = 24 days. 

Then. The No. of days two of them together take to finish the work = 40 × 24/40 + 24 

= 40 × 24/64 = 15 days.

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