Answer: the speed of the wind is 1.5 mph
Step-by-step explanation:
Let x represent the speed of the wind.
Time = distance/speed
Craig can ride his bike at an average rate of 14 miles per hour in calm air. Traveling with the wind, his total speed would be (14 + x) mph
Time taken to travel 62 miles with the wind would be
62/(14 + x)
In the same amount of time it took him to ride 50 miles against the wind. His total speed would be
(14 - x) mph. Time taken to travel 50 miles is
50/(14 - x)
Since the time is the same, then
62/(14 + x) = 50/(14 - x)
Cross multiplying, it becomes
62(14 - x) = 50(14 + x)
868 - 62x = 700 + 50x
- 62x - 50x = 700 - 868
- 112x = - 168
x = - 168/-112
x = 1.5
