1.

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 compl

Answer»

12 days



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



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