SOLUTION: A cyclist rode 1 mile in 3 minutes with the wind and returned in 4 minutes against the wind. Find his speed without the wind.

Question 39410: A cyclist rode 1 mile in 3 minutes with the wind and returned in 4 minutes against the wind. Find his speed without the wind.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The equation we use in these problems is D = RT, distance = rate times time.
With the wind, D = 1, T = 3 and his rate is R + w, w being the wind.
Against it, D = 1, T = 4, and his rate is R - w.
So we have
3(R + w) = 1
4(R - w) = 1
from which we get
(R + w) = 1/3
(R - w) = 1/4
adding equations we get
2R = 7/12
and
R = 7/24 miles per minute = 60(7/24) = 17.5 miles per hour
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