Answer:
Explanation:
Let x represent the walking rate of the cyclist.
If the cycling rate was four times the walking rate, it means that the cycling rate is 4x mph.
Time = distance/speed
Time spent during cycling is
Time = 40/4x = 10/x
Time spent during walking is
5/x
Since the total time spent cycling and walking is 5 hours, it means that
10/x + 5/x = 5
Cross multiplying by x, it becomes
10 + 5 = 5x
5x = 15
x = 15/5
x = 3
The cycling speed is 4x = 4 × 3 = 12 mph