Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;
The distance the cyclist rides against the wind = 5 miles
The distance the cyclist rides with the wind = 10 miLes
Let <em>t </em>represent the time it took the cyclist in both directions, we have;
Where;
v = The cyclist's average rate of speed
Which gives;
10 × (v - 4) = 5 × (v - 4)
10v - 40 = 5v - 20
5v = 20
v = 20 ÷ 5 = 5
The equation that can be used to calculate the cyclist's average rate of speed is therefore;
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