Question

A road crew can repave 1/56 miles of road each hour. They must repave a road that is 7/8 miles long. How long will it take the crew to repave the road?

Answer 1

1 hour = 1/56 miles
1/56 miles = 1 hour 
[7/8 = 49/56]
49/56  miles = 1 x 49 hours
49/56  miles = 49 hours
7/8 miles = 49 hours

Answer 2

Answer:  49 hours

Step-by-step explanation:

Given : A road crew can repave $\dfrac{1}{56}$ miles of road each hour.

i.e. the rate of of repave = $\dfrac{1}{56}$ miles per hour.

Distance required to cover = $\dfrac{7}{8}$ miles.

The formula used here is :-

$\text{Time}=\dfrac{\text{Distance}}{\text{rate of repave}}$

i.e. $\text{Time}=\dfrac{\dfrac{7}{8}}{\dfrac{1}{56}}$

i.e. $\text{Time}=\dfrac{7}{8}\times56=7\times7=49$

Hence, it will take 49 hours to repave the road.