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Question

A and B can complete a work in 15 days and 10 days re3spectively . 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


Options:
A .  8 days
B .  10 days
C .  12 days
D .  15 days
Answer: Option C

(A + B)'s 1 days work = `(1/15 + 1/10) = 1/6`

work done by A and B in 2 days = `(1/6 xx 2) = 1/3` . Remaining work = `(1 - 1/3) =  2/3`

Now , `1/15` work is done by  A in 1 day.

`:.`      `2/3` work will be done by A in `(15 xx 2/3)` = 10 days.

Hence , total time taken = (10 + 2) = 12 days.




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