Question

Waylon ran 3 3/4 miles in 25 minutes. What is the unit rate in miles per hour?

Answer 1

Waylon ran at a speed of 9 miles per hour.

Step-by-step explanation:

A hour equals to 60 minutes, then, the equivalent time is found:

`t = 25\,min * \left((1)/(60)\,(h)/(min) \right)`

`t = (5)/(12)\,h`

Let suppose that Waylon runs at constant speed, so that equation is equal to:

`v = (s)/(t)`

Where:

`v` - Speed, measured in miles per hour.

`s` - Travelled distance, measured in miles.

`t` - Time, measured in hours.

If we know that
`s = 3\,(3)/(4)\,mi = (15)/(4)\,mi` and
`t = (5)/(12)\,h`, then:

`v = ((15)/(4)\,mi )/((5)/(12)\,h )`

`v = 9\,(mi)/(h)`

Waylon ran at a speed of 9 miles per hour.