SOLUTION: Two cyclists, 45 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of t

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Question 792271: Two cyclists, 45 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
cyclist fast________2r_________3____________2r*3
cyclist slow________r__________3____________r*3
total_______________________________________45

2r%2A3%2Br%2A3=45 from the data
6r%2B3r=45
9r=45
r=5, speed for the slow cyclist.

The faster cyclist had speed 10.