Question

A construction company can remove 3/4 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site?

Answer 1

32 hours

Explanation:

Given

`Rate= (3)/(4)\ tons\ per\ hour`

Required

Determine time taken for 24 tons

As used in this question, Rate is the ratio of tons of dirt to time.

i.e.

`Rate = (Tons\ of\ Dirt)/(Time)`

Let t represents time when tons of dirt is 24 tons:

`Rate = (24)/(t)`

Recall that:
`Rate= (3)/(4)\ tons\ per\ hour`

So, we have

`(24)/(t) = (3)/(4)`

Cross Multiply

`3 * t = 24 * 4`

Divide both sides by 3

`t = 8 * 4`

`t = 32`

Hence, time taken is 32 hours