Question

A packing machine can pack 144 boxes of toothpaste in 2.4 minutes how many boxes of toothpaste will it pack in 4 minute what time will it take to pack 360 boxes

Answer 1

Answer:

240 boxes in 4 minutes, 360boxes in 6 min

Answer 2

Given:

A packing machine can pack 144 boxes of toothpaste in 2.4 minutes.

To find :

The number of boxes of toothpaste a packing machine will pack in 4 minutes.

How much time will the machine take to pack 360 boxes.

Solution:

Step 1 of 2:

Let 'x' be the number of boxes of toothpaste a packing machine will pack in 4 minute.

We know that, A packing machine can pack 144 boxes of toothpaste

in 2.4 minutes.

Therefore,

$\frac{144}{2.4} = \frac{x}{4}$

x = $\frac{144}{2.4}$ × 4

x = $\frac{576}{2.4}$

x = 240

A packing machine can pack 240 boxes of toothpaste in 4 minutes

Step 2 of 2:

Let 'y' be the time taken by machine to pack 360 boxes,

Therefore,

$\frac{144}{2.4} = \frac{360}{y}$

y = 360 × $\frac{2.4}{144}$

y = $\frac{864}{144}$

y = 6

The time taken by machine to pack 360 boxes is 6 minutes.

Final answer:

The number of boxes of toothpaste the machine will pack in 4 minutes is 240 boxes.

The time taken by machine to pack 360 boxes is 6 minutes.