document.write( "Question 75401: 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
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Algebra.Com's Answer #54098 by rmromero(383) $\"\"$ $\"About$

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document.write( "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
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document.write( "r*t=d\r
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document.write( "What is asked in the problem?
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document.write( "  What was her speed each way\r
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document.write( "Given:
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document.write( "A bicyclist rode in to the country for 5 hrs.
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document.write( "Returning, her speed was 5mi/h faster and the trip took 4 hrs.\r
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document.write( "Representation:
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document.write( "Let x = her speed on her way to the country
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document.write( "  x + 5 = her speed when she returns\r
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document.write( "              r    *    t =   d\r
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document.write( "on the way    x         5 =  5x
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document.write( "Returning    x+5        4 = 4(x+5)\r
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document.write( "Equation:\r
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document.write( "         5x = 4(x+5)
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document.write( "         5x = 4x + 20
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document.write( "          x = 20 mi/h    her speed on her way to the country\r
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document.write( "       x+5 = 20+5 
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document.write( "           = 25 mi/h     her speed returning to the country\r
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