Question

13.
16.
Hari can sort the newspapers in 14 minutes; but if Ramesh helps, they can sort
the newspapers in 9 minutes. How long would it take Ramesh to sort the
newspapers alone?
a. 25.2 minutes b: 21.5 minutes c. 18 minutes
d. 20.8 minutes​

Answer 1

If Hari alone takes 14 minutes and along with Ramesh’s help he takes 9 minutes to sort the newspaper then Ramesh alone would take 25.2 minutes to sort the newspaper.

Step-by-step explanation:

Hari alone can sort the newspaper in 14 minutes

So, Work done by Hari alone in 1-minute = $\frac{1}{14}$

Hari and Ramesh together can sort the newspaper in 9 minutes

So, Work done by Ramesh & Hari bothe in 1 minute = $\frac{1}{9}$

Therefore,

Work done by Ramesh alone is,

= $\frac{1}{9}$ – $\frac{1}{14}$

= $\frac{</strong>14-9<strong>}{</strong>9*14<strong>}$

= $\frac{</strong>5<strong>}{</strong>126<strong>}$

= $\frac{</strong>1<strong>}{</strong>25.2<strong>}$

Thus, Ramesh alone would take 25.2 minutes [: option (a)] to sort the newspaper.

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