Question 1179484
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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/r}}}  hours.

Pablo's time driving 15 miles  is  {{{15/5r}}} = {{{3/r}}}  hours.



The difference of times is 2 hours, giving you equation

    {{{15/r}}} - {{{3/r}}} = 2  hours.



Simplify and find "r" 


    {{{12/r}}} = 2;

    r = {{{12/2}}} = 6 miles per hour.


<U>ANSWER</U>.  Jose rides his bicycle at  6 miles per hour.
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Solved.