Question

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

8:00 A.M. <--- 4.5 ---> 8:18 A.M. <------ 7.5 ------> 8:48 A.M.


The average rate of speed is ___ miles per hour.

Answer 1

Average rate of speed is equal to total distance divided by the total time. the total distance is equal to 4.5+7.5, or 12 miles. The total time from 8:00 to 8:48 is 48/60 of one hour. 12*60/48=15 miles per hour

Answer 2

Answer : The bicyclist's average rate of speed in miles per hour is 15 mile/hr.

Explanation:

Average rate if speed : It is defined as the ratio total distance to total time.

Formula used :

`\text{Average rate of speed}=\frac{\text{Total distance}}{\text{Total time}}`

As per question,

Total distance traveled by bicyclist = 4.5 mile + 7.5 mile = 12 mile

Total time taken by bicyclist = (8:48 A.M - 8:00 A.M) = 48 min = 0.8 hr

conversion used : ( 1 hour = 60 minute)

Now put all the given values in the above formula, we get the bicyclist's average rate of speed in miles per hour.

`\text{Average rate of speed}=\frac{\text{Total distance}}{\text{Total time}}`

`\text{Average rate of speed}=(12mile)/(0.8hr)=15mile/hr`

Therefore, the bicyclist's average rate of speed in miles per hour is 15 mile/hr.