Question

Bruce went hiking on Saturday and followed a trail for 3 7/10 miles. The following week he hiked on a trail that was 3/4 of that distance. Write and solve an equation that will help you figure out how far Bruce hiked the following week. Explain the steps you took to solve the problem.

Answer 1

`2(31)/(40)\ \text{miles}`

Explanation:

Let
`x` be the distance Bruce hiked on Saturday.

`y` be distance Bruce hiked on the following week which is
`(3)/(4)` of the distance he hiked on Saturday.

The equation will be

`y=(3)/(4)x`

The distance he hiked on Saturday was
`3(7)/(10)\ \text{miles}`.

`y=(3)/(4)* 3(7)/(10)\\\Rightarrow y=(3)/(4)* (37)/(10)\\\Rightarrow y=(111)/(40)=2(31)/(40)=2.775\ \text{miles}`

The distance that Bruce hiked the following week was
`2(31)/(40)\ \text{miles}`.