document.write( "Question 88067: I always have problems with this type of word problem How can I solve this and write the equation for it? please help\r
\n" ); document.write( "\n" ); document.write( "A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
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Algebra.Com's Answer #64065 by ankor@dixie-net.com(22740)\"\" \"About 
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A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
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\n" ); document.write( "Let s = speed outbound
\n" ); document.write( "Then
\n" ); document.write( "(s+5) = speed returning
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\n" ); document.write( "We know that the dist out and the distance back are equal. We can make a simple equation from that fact: Dist = time * speed
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\n" ); document.write( "Dist out = dist back
\n" ); document.write( "5s = 4(s+5)
\n" ); document.write( "5s = 4s + 20
\n" ); document.write( "5s - 4s = 20
\n" ); document.write( "s = 20 mph
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\n" ); document.write( "Then her return speed, 20 + 5 = 25 mph
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\n" ); document.write( "Check solution using the distance:
\n" ); document.write( "5(20) = 4(25)
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