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Time and Work - General Aptitude

Q1:

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A 6 days

B 10 days

C 15 days

D 20 days

ANS:B - 10 days

Work done by X in 4 days = 1 x 4 = 1 .
20 5
Remaining work = 1 - 1 = 4 .
5 5
(X + Y)'s 1 day's work = 1 + 1 = 8 = 2 .
20 12 60 15
Now, 2 work is done by X and Y in 1 day.
15
So, 4 work will be done by X and Y in 15 x 4 = 6 days.
5 2 5
Hence, total time taken = (6 + 4) days = 10 days.