Answer:
The average rate of speed is 15 miles per hour
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
= [tex]\frac{40}{60} hours =\frac{2}{3} hours[/tex]
Total distance travelled = 3.5 + 6.5 = 10 miles
[tex]Speed = \frac{Distance}{Time}[/tex]
Substituting the values,
[tex]\text { Speed }=\frac{10}{\frac{2}{8}}=10 \times \frac{3}{2}=5 \times 3=15 \text { miles per hour }[/tex]
Therefore, the average rate of speed is 15 miles per hour