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

Answer:

32 hours

Step-by-step explanation:

Given

$Rate= \frac{3}{4}\ tons\ per\ hour$

Required

Determine time taken for 24 tons

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

i.e.

$Rate = \frac{Tons\ of\ Dirt}{Time}$

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

$Rate = \frac{24}{t}$

Recall that: $Rate= \frac{3}{4}\ tons\ per\ hour$

So, we have

$\frac{24}{t} = \frac{3}{4}$

Cross Multiply

$3 * t = 24 * 4$

Divide both sides by 3

$t = 8 * 4$

$t = 32$

Hence, time taken is 32 hours