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Time and Work

A can do a pi...

Question

A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. How much time will A take to complete the remaining work alone?

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Solution

B's $5$ days work = $\frac{1}{10} \times 5$ = $\frac{1}{2}$
Remaining work = $1 - \frac{1}{2}$ = $\frac{1}{2}$

A can finish work = $15 \times \frac{1}{2}$ $= 7.5$ days

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