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Time and Work - General Aptitude

Q1:

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
13 1 days
3

B 15 days

C 20 days

D 26 days

ANS:A -

13 1 days
3

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