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 amThe average rate of speed is _________________ miles per hour

Answer:The average rate of speed is 15 miles per hourExplanation:Given a bicyclist started riding at 8:00 amBetween 8:00 am and 8:14 am, that is, 14 minutes, he travelled 3.5 milesAnd, between 8:14 am and 8:40 am, that is, 26 minutes, he travelled 6 milesTotal 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