Given Information:
Distance = d = 12 miles
Time = t = 15 minutes
Required Information:
Speed of the bus = r = ?
Answer:
Speed of the bus = r = 48 mph
Explanation:
We are given that a bus has traveled a distance of 12 miles in a time period of 15 minutes.
We are required to find the rate or speed at which the bus is traveling.
The relation is given by
![rate = (distance)/(time)\\\\r = (d)/(t)](https://img.qammunity.org/2021/formulas/mathematics/high-school/o9ulwvx5ftpxytscuzn36d6o9tladdtla8.png)
Where r is the rate or speed, d is the distance and t is the time.
First let us convert time from minutes to hours
as we know 1 hour has 60 minutes,
15/60 = 0.25 hour
Now we will get the speed of the bus in miles per hour
![r = (d)/(t)\\\\r = (12)/(0.25)\\\\r = 48 \: mph](https://img.qammunity.org/2021/formulas/mathematics/high-school/5xl2sziofq0hlg6lnt4enqb8l16mdaixxz.png)
Therefore, the speed of the bus is 48 miles per hour.