Question

B is `4/3` times as efficient as A. If A can complete `5/8`th of a given task in 15 days, what fraction of the same task would remain incomplete if B works on it independently for 10 days only?

पर्याय

• `3/4`

• `2/3`

• `5/8`

• `4/9`

Answer 1

`4/9`

Explanation:

B is `4/3` times as efficient as A. 

∵ A completes `5/8`th work in 15 days.

∴ Time taken by A in doing 1 work = `(15 xx 8)/5` = 24 days

∴ Time taken by B in doing whole work = `24 xx 3/4 = 18` days

∵ B's 1 day's work = `1/18`

∴ B's 10 days' work = `10/18 = 5/9`

∴ Remaining work

`= 1 - 5/9 = 4/9`