# 4 kitchen assistants can prepare 10 kg of vegetables in 30 minutes. How long would it take 25 assistants to prepare the same amount?

Nov 25, 2016

$4.8 \text{ min}$

#### Explanation:

Assume that all the assistants can prepare vegetables at the same, constant, rate.

If the amount of assistance doubled, the time needed to produce a given amount of vegetables would be halved.

Similarly, if the amount of assistance became $\frac{25}{4}$ of its original number, the time needed to produce the same 10 kg of vegetables would become $\frac{4}{25}$ of the original time needed.

Thus, the time needed for 25 assistants to prepare 10 kg of vegetables is

$\frac{4}{25} \times 30 \text{ min" = 4.8" min}$