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Time and Work - General Aptitude

Q1:

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

A 8 days

B 10 days

C 12 days

D 15 days

ANS:C - 12 days

(A + B)'s 1 day's work = ( 1 + 1 ) = 1 .
15 10 6
Work done by A and B in 2 days = ( 1 x 2 ) = 1 .
6 3
Remaining work = ( 1 - 1 ) = 2 .
3 3
Now, 1 work is done by A in 1 day.
15
Therefore 2 work will be done by a in ( 15 x 2 ) = 10 days.
3 3
Hence, the total time taken = (10 + 2) = 12 days.