document.write( "Question 117617: A bicyclist rode into the country for 5h. In returning, her speed was 5mi/h faster and the trip took 4h. what was her speed each way? \n" ); document.write( "
Algebra.Com's Answer #85618 by ankor@dixie-net.com(22740)\"\" \"About 
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A bicyclist rode into the country for 5h. In returning, her speed was 5mi/h faster and the trip took 4h. what was her speed each way?
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\n" ); document.write( "Let s = speed into the country
\n" ); document.write( "Then
\n" ); document.write( "(s+5) = speed escaping from the country
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\n" ); document.write( "We know the distance out and back are the same. Write a distance equation from this fact.
\n" ); document.write( "Dist = time * speed
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\n" ); document.write( "5s = 4(s+5)
\n" ); document.write( "5s - 4s + 20
\n" ); document.write( "s = 20 mph into the country
\n" ); document.write( "and
\n" ); document.write( "20 + 5 = 25 mph escaping from the country
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\n" ); document.write( "Check the solutions by finding if the distances are, indeed, equal:
\n" ); document.write( "5(20) = 100
\n" ); document.write( "4(25) = 100 confirms our solutions
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\n" ); document.write( "Did this make logical sense to you? \n" ); document.write( "
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