A and B working together can do a piece of work in 10 days $B$ alone can do the same work in 15 days. How long will A alone take to do the same work?

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Solution

A and $B$ working together can do a piece of work in 10 days and $B$ alone can do the same work in 15 days
$A$ and $B$ 's one day's work $= \frac{1}{10}$
and $B$ 's one day's work $= \frac{1}{15}$
$∴$ A's one day's work $= \frac{1}{10} - \frac{1}{15}$
$= \frac{3 - 2}{30} = \frac{1}{30}$
Hence A can do the same work in $= 30$ days

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A and B working together can do a piece of work in 10 days B alone can do the same work in 15 days. How long will A alone take to do the same work?

A and B working together can do a piece of work in 10 days and B alone can do the same work in 15 days A and B 's one day's work =110 and B 's one day's work =115 ∴ A's one day's work =110−115 =3−230=130 Hence A can do the same work in =30 days

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