document.write( "Question 97895: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town. \n" ); document.write( "
Algebra.Com's Answer #71299 by ankor@dixie-net.com(22740)\"\" \"About 
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: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
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\n" ); document.write( "Let d = one-way distance to the town
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\n" ); document.write( "Write a time equation, Time = dist/speed
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\n" ); document.write( "\"d%2F24\" + \"d%2F18\" = 4.9
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\n" ); document.write( "Multiply the equation by the least common multiple, 72:
\n" ); document.write( "72\"d%2F24\" + 72\"d%2F18\" = 72(4.9)
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\n" ); document.write( "Cancel out the denominators:
\n" ); document.write( "3d + 4d = 352.8
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\n" ); document.write( "7d = 352.8
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\n" ); document.write( "d = 352.8/7
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\n" ); document.write( "d = 50.4 miles
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\n" ); document.write( "Check solution:
\n" ); document.write( "\"50.8%2F24\" + \"50.8%2F18\" = 4.9
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\n" ); document.write( " 2.1 + 2.8 = 4.9
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