Question

Rylen hiked 3/4 of a mile in 2/3 of an hour . What was his hiking speed in miles per hour?

1/8 miles per hour


1 1/8 miles per hour


8/9 miles per hour


1 5/12 miles per hour

Answer 1

The hiking speed in miles per hour is 1 1/8.

Explanation:

This can be solved by a simple rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, the measures are the time spent hiking and the distance hiked. As the the time spent hiking increases, so will the distance hiked. So their relationship is direct.

So:

3/4 - 2/3 hour

x miles - 1 hour

`(2x)/(3) = (3)/(4)`

`x = (9)/(8)`

x can also be written in this format

`x = (9)/(8) = (8)/(8) + (1)/(8) = 1 + (1)/(8)`

So the hiking speed in miles per hour is 1 1/8.