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?

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Question 930551: 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?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Manuel can drive m times as fast as Pedro can ride his bicycle, r. If it takes Pedro k hours longer than Manuel to travel d miles, how fast can Pedro ride his bicycle (what is r) ?


___________________rate________time__________distance
Manuel_____________mr__________(____)_________d
Pedro_______________r__________(____)_________d


___________________rate________time__________distance
Manuel_____________mr__________d/(mr)_________d
Pedro_______________r__________d/(mr)+k_______d


The only unknown variable is r, which is what is wanted to be solved. The uniform travel rates rule means that is also the time needed for Pedro.


Solve this for r;
Substitute the given values;
Evaluate r.
Answer by MathTherapy(10556)   (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?
Let Pedro’s biking speed be S

Then Manuel’s driving speed = 3S

Therefore, we get: 

3(66) = 66 + 12S --------- Multiplying by LCD, 3S 

198 = 66 + 12S

198 – 66 = 12S

132 = 12S

S, or Pedro’s biking speed = , or  mph

You can do the check!! 

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