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Q)

'P' and 'Q' can finish a work in 30 days. They worked at it for 10 days and then 'Q' left. The remaining work is done by 'P' alone in 20 more days. How long will 'P' take to finish the work alone?

Explanation

According to the question,

In 10 days (P+Q) complete$=\frac{1}{30}\times 10=\frac{1}{3}$^{th} of the work

Remaining work$=\left(1-\frac{1}{3}\right)=\frac{2}{3}$

$\frac{2}{3}$^{ th} of the work is done by P in 20 days.

So, whole work can be completed by P in$=20\times \frac{3}{2}=30$days.

**Hence option A is the correct **

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