Question

A road crew must repave a road that is 2/5 miles long. They can repave 1/30 miles each hour. How long will it take the crew to repave the road?

Answer 1

Answer with explanation:

Total length of road $=\frac{2 \text{miles}}{5}$

Amount Repaved per Hour

$=\frac{1 \frac{\text{miles}}{\text{hour}}}{30}$

Using Unitary method

 $\Rightarrow 1 \text{hour}=\frac{1 \text{miles}}{30}\\\\\Rightarrow 30 \text{hour}=1 \text{miles}}\\\\\Rightarrow \frac{2\text{miles}}{5}=30 \times \frac{2}{5} \text{hour}\\\\\Rightarrow \frac{2\text{miles}}{5}=12 \text{hour}$

Total time taken by crew to repave the road= 12 hour