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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?

2 Answers

4 votes
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
User Dovetalk
by
8.7k points
4 votes

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.

User Ember Arlynx
by
8.7k points
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