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Question

# A alone can do a piece in 10 days and B alone can so it in 15 days. In how many days will A and B together do the same work?

A
5 days
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B
6 days
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C
8 days
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D
9 days
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Solution

## The correct option is B 6 daysWe know that,Number of days A required to do piece of work =10 daysNumber of days B required to do piece of work =15 days∴ We can calculate, work done A in 1 day =1/10Work done by B in 1 days =1/15Now, work done by both A and B together in 1 day =1/10+1/15=10/60=1/6∴A and B can do work together in 6 days

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