Question

A road crew must repave a road that is 7/8miles long. They can repave1/56miles each hour. How long will it take the crew to repave the road?Write your answer in simplest form

Answer 1

1) Gathering the data

The whole road: 7/8 miles long

Repaving speed: 1/56 mph

2) Considering that the Speed is found by:

`\begin{gathered} S=(d)/(t) \\ (1)/(56)=((7)/(8))/(t) \\ t=(7)/(8)\cdot56 \\ t=49\text{ hours} \end{gathered}`

Note that we cross multiplied that.

3) Hence, we can answer that the road crew is going to take 49 hours to repave it