Question

a contruction company can remove 1/4 metric tons of dirt from a construction site in 1/8 hours what is the unit rate in metric tons per hour

Answer 1

2 metric tons in an hour.

Explanation:

The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.

Formula

Rate = Tons removed / hours

Tons Removed = 1/4 metric ton

Time taken = 1/8 hour

`\text{rate = }\frac{(1)/(4)} {(1)/(8)}`

Rather than doing it with fractions, it is much easier to do it with decimals

1/4 = 0.25

1/8 = 0.125

Now what you get is rate = 0.25 / 0.125 = 2

So 2 metric tons can be removed in an hour