Question

Yovanni went on a hike. He climbed 4/5 of mile in 1/4 of an hour. What was his hiking speed in miles per hour

Answer 1

We have the following information

Distance

`d=(4)/(5)\text{miles}`

Time

`t=(1)/(4)\text{hours}`

To find his hiking speed we need to use the formula for speed:

`s=(d)/(t)`

where d is the distance and t is the time.

We substitute our values into the formula:

`s=\frac{(4)/(5)\text{miles}}{(1)/(4)\text{hours}}`

In this type of divisions, we multiply the extremes of the expression (4 by 4) and this will be our numerator. Also, we multiply the numbers in the middle (5 by 1) and this will be our denominator:

`s=(4*4)/(5*1)=(16)/(5)=3.2\text{ mi/h}`

Answer: 3.2 mi/h