Question 14

A does $$ \frac{2}{5} $$ of a work in 9 days. Then B joined him and they together completed the remaining work in 6 days. B alone can finish the whole work in

Solution

If A can complete $$\frac{2}{5}$$ of work in 9 days ,

then he can complete whole work in $$ \frac {9\times5} {2} = \frac {9\times5} {2} $$ = 22.5 days.

Let B take x number of days to complete the work.

A/c to question ,

($$\frac{2}{45} + \frac{1}{x}) \times 6 = \frac{3}{5}$$

x = 18 days.

So , the answer would be option d) 18 days

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