Question

A cyclist managed to ride 5 miles against the wind in the same time that it took him to ride 10 miles with the wind. If the wind speed is 4 mph, which equation can be used to calculate the cyclist’s average rate of speed in miles per hour?

Answer 1

Explanation:

Average Rate of Speed = Distance / Time

Average Rate of Speed = (5 + 10) / (Time with the Wind + Time Against the Wind)

Average Rate of Speed = 15 / (Time with the Wind + Time Against the Wind)

Average Rate of Speed = 15 / (10/4 + 10/6)

Average Rate of Speed = 15 / (2.5 + 1.67)

Average Rate of Speed = 15 / 4.17

Average Rate of Speed = 3.59 mph