A, B and C can complete a work, working alone in 10, 15 and 20 days respectively. If all of them work together to complete the work, what fraction of the work would have done by B?

Foundation

Mathematics Foundation

Time Speed Distance

Question

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{4}{13}$

$\frac{6}{13}$

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Ratio of rate of working of A,B and C is

$\frac{1}{10} : \frac{1}{15} : \frac{1}{20}$

= 6 : 4 : 3

Thus, B would do = $\frac{4}{6 + 4 + 3} = \frac{4}{13}$ of the total work.

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