SOLUTION: Manuel can drive 3 times as fast as Pedro can ride his bicycle. If it takes Pedro 4 hours longer than Manuel to travel 66 miles, how fast can Pedro ride his bicycle?

Question 1026825: Manuel can drive 3 times as fast as Pedro can ride his bicycle. If it takes Pedro 4 hours longer than Manuel to travel 66 miles, how fast can Pedro ride his bicycle?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Manuel can drive 3 times as fast as Pedro can ride his bicycle. If it takes Pedro 4 hours longer than Manuel to travel 66 miles, how fast can Pedro ride his bicycle?
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Pedro DATA:
dist = 66 miles ; rate = r mph ; time = 66/r hrs
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Manuel DATA:
dist = 66 miles ; rate = 3r mph ; time = 66/(3r) hrs = 22/r hrs
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Equation:
Pedro time - Manuel time = 4 hrs.
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66/r - 22/r = 4
44/r = 4
r = 11 mph (Pedro rate)
3r = 33 mph (manuel rate)
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Cheers,
Stan H.
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