SOLUTION: The winner of a 3 mile bicycle race finishes 3 minutes ahead of a teammate and travels on average, 3 miles per hour faster than the teammate. Find the average speed of each racer.

Question 964974: The winner of a 3 mile bicycle race finishes 3 minutes ahead of a teammate and travels on average, 3 miles per hour faster than the teammate. Find the average speed of each racer.
The faster speed is what?
The slower speed is what?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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S=slower speed; F=faster speed=S+3mph

Substitute for F.
Find common denominator for left side.

Combine terms on left.
Cross multiply

Subtract 3Smi from each side.
Multiply by -20

ANSWER 1: The speed of the slower bicycle was 12 mph.
= ANSWER 2: The speed of the faster bicycle was 15 mph.
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CHECK:
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