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

Explanation:

Given : A road crew can repave
`(1)/(56)` miles of road each hour.

i.e. the rate of of repave =
`(1)/(56)` miles per hour.

Distance required to cover =
`(7)/(8)` miles.

The formula used here is :-

`\text{Time}=\frac{\text{Distance}}{\text{rate of repave}}`

i.e.
`\text{Time}=((7)/(8))/((1)/(56))`

i.e.
`\text{Time}=(7)/(8)*56=7*7=49`

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