SOLUTION: Pablo can drive 5 times as fast as Jose can ride his bicycle. If it takes Jose 2 hours longer than Pablo to travel 15 miles, how fast can Jose ride his bicycle?

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Question 1179484: Pablo can drive 5 times as fast as Jose can ride his bicycle. If it takes Jose 2 hours longer than Pablo to travel 15 miles, how fast can Jose ride his bicycle?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
             SPEED         TIME        DISTANCE
 
Pablo          5r         15/(5r)         15

Jose            r         15/r            15

Difference                 2

You can decide what to do.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Pablo can drive 5 times as fast as Jose can ride his bicycle.
If it takes Jose 2 hours longer than Pablo to travel 15 miles, how fast can Jose ride his bicycle?
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Let r be the Jose's rate bicycling, in miles per hour.

Then, according to the condition, the Pablo's rate driving is 5r miles per hour (five times as fast).



Jose's time bicycling 15 miles  is  15%2Fr  hours.

Pablo's time driving 15 miles  is  15%2F5r = 3%2Fr  hours.



The difference of times is 2 hours, giving you equation

    15%2Fr - 3%2Fr = 2  hours.



Simplify and find "r" 


    12%2Fr = 2;

    r = 12%2F2 = 6 miles per hour.


ANSWER.  Jose rides his bicycle at  6 miles per hour.

Solved.