SOLUTION: This is one I got wrong on a test and I want to figure out what I'm not getting. I know the answer is 12 but I can't get there. A long distance cyclist pedaling at a steady rat

Question 32981: This is one I got wrong on a test and I want to figure out what I'm not getting. I know the answer is 12 but I can't get there.
A long distance cyclist pedaling at a steady rate travels 30
miles with the wind. He can travel only 18 miles against the wind in the same amount of time.
If the rate of the wind is 3 miles per hour, what is the cyclist's rate without the wind?
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
Let the speed be x:
---> cross multiply:
18(x+3)=30(x-3)
18x+54=30x-90
-12x=-144
x=12
Hence, he can travel 12mph.
Paul.
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