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Question

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

A
10 days
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B
20 days
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C
15 days
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D
6 days
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Solution

## The correct option is D 10 daysA's one days' work = 120. B's one days' work = 112. Work done by A in 4 days = 420=15.Remaining work = 1−15=45 (A+B)'s 1 days' work = 120+112=215∴ Number of days to do the remaining work = 45÷212=45×152=6 days∴ Total number of days taken in the completion of work =6+4=10 days.

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