$A$ can do a piece of work in $10$ days and $B$ in $15$ days. How long will they take together to finish it ?

7

days

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3

days

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9

days

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6

days

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Solution

The correct option is D $6$ days
Work done by A in 1 day $= \frac{1}{10}$

Work done by B in 1 day $= \frac{1}{15}$

Work done by A and B in 1 day $= \frac{1}{10} + \frac{1}{15} = \frac{25}{150}$

Working together they will complete the work in $\frac{150}{25} = 6$ days

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A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it ?

The correct option is D 6 daysWork done by A in 1 day =110Work done by B in 1 day=115Work done by A and B in 1 day=110+115=25150Working together they will complete the work in 15025=6 days

$A$ can do a piece of work in $10$ days and $B$ in $15$ days. How long will they take together to finish it ?

The correct option is D $6$ days
Work done by A in 1 day $= \frac{1}{10}$

Work done by B in 1 day $= \frac{1}{15}$

Work done by A and B in 1 day $= \frac{1}{10} + \frac{1}{15} = \frac{25}{150}$

Working together they will complete the work in $\frac{150}{25} = 6$ days