Aptitude:: Time and 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.

B. 15 days
C. 20 days D. 26 days

Answer: Option A

Explanation:

 

Work done by X in 8 days = ( 1 x 8 ) = 1 .
40 5

 

Remaining work = ( 1 - 1 ) = 4 .
5 5

 

Now, 4 work is done by Y in 16 days.
5

 

Whole work will be done by Y in ( 16 x 5 ) = 20 days.
4

 

Therefore X's 1 day's work = 1 , Y's 1 day's work = 1 .
40 20

 

(X + Y)'s 1 day's work = ( 1 + 1 ) = 3 .
40 20 40

 

Hence, X and Y will together complete the work in ( 40 ) = 13 1 days.
3 3

 


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