Question

A can finish a piece of work in 24 days. B is 20% more efficient than A. C is 25% more efficient than B. In how many days Band C together can finish the same piece of work?

Options

• `8  8/9`

• `9  1/3`

• `8  5/8`

• `10  2/9`

Answer 1

`8  8/9`

Explanation:

Time taken by A alone = 24 days

According to the question, Time taken by B alone

`= 100/120 xx 24`

= 20 days

Time taken by C alone

`= 100/125 xx 20` = 16 days

∴ (B + C),s 1 day's work

`= 1/20 + 1/16 = (4 + 5)/80 = 9/80`

∴ Required time = `80/9`

`=  8 8/9` days