Question

A Supermarket manager hired one packager who can pack 15 boxes every two minutes. After some time the manager noticed that packaging is too much work to be done by one person, so they hired another packager who can pack 15 boxes every three minutes. How many minutes will it take these two packagers, working together, to pack 500 boxes?

Answer 1

Answer:

40

Step-by-step explanation:

Answer 2

Answer:

It will take 1500 minutes these two packagers, working together, to pack 500 boxes.

Step-by-step explanation:

Given,A packager can pack 15 boxes every two minutes.

So,a packager in 1 minute can pack $\frac{2}{15}$ boxes.

Again given,another packager who can pack 15 boxes every three minutes.

So, another packager in 1 minute can pack

$\frac{3}{15} = \frac{1}{5}$ boxes.

Therefore two packager in 1 minute can pack

$\frac{2}{15} + \frac{1}{5} \\ = \frac{2 + 3}{15} \\ = \frac{5}{15} \\ = \frac{1}{3}$

boxes.Here two packager can pack $\frac{1}{3}$

boxes in 1 minuteSo,two packager can pack 1 box in $\frac{1}{ \frac{1}{3} } = 3$ minutes.

Therefore two packager can pack 500 box in

$(500 \times 3) = 1500 \: minutes \\ = 25 \: hours$

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