Question

A bicyclist started riding at 8:00 am. The diagram below shows the distance the bicyclist had traveled at different rates. What was the bicyclist's average rate of speed in miles per hour?

8:00 am - 3.5 miles - 8:14 am - 6.5 miles - 8:40 am

The average rate of speed is _________________ miles per hour

Answer 1

The average rate of speed is 15 miles per hour

Step-by-step explanation:

Given a bicyclist started riding at 8:00 am

Between 8:00 am and 8:14 am, that is, 14 minutes, he travelled 3.5 miles

And, between 8:14 am and 8:40 am, that is, 26 minutes, he travelled 6 miles

Total time = 14 + 26 = 40 minutes

=
`(40)/(60) hours =(2)/(3) hours`

Total distance travelled = 3.5 + 6.5 = 10 miles

`Speed = (Distance)/(Time)`

Substituting the values,

`\text { Speed }=(10)/((2)/(8))=10 * (3)/(2)=5 * 3=15 \text { miles per hour }`

Therefore, the average rate of speed is 15 miles per hour