A bicyclist rode into the country for  5 hours.  In returning, her speed was 5 mi/hour faster and the trip took 4 hours. What was her speed each way?



r*t=d





What is asked in the problem?

  What was her speed each way





Given:

A bicyclist rode in to the country for 5 hrs.

Returning, her speed was 5mi/h faster and the trip took 4 hrs.



Representation:

Let x = her speed on her way to the country

  x + 5 = her speed when she returns





              r    *    t =   d



on the way    x         5 =  5x

Returning    x+5        4 = 4(x+5)



Equation:



         5x = 4(x+5)

         5x = 4x + 20

          x = 20 mi/h    her speed on her way to the country



       x+5 = 20+5 

           = 25 mi/h     her speed returning to the country









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