document.write( "Question 176658: A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town. \n" ); document.write( "
Algebra.Com's Answer #131743 by ankor@dixie-net.com(22740)\"\" \"About 
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A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist
\n" ); document.write( "averaged 10 mph on the return trip. If the round trip took 6.3 hours,
\n" ); document.write( " find the distance to the nearby town.
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\n" ); document.write( "let d = one way distance traveled
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\n" ); document.write( "write time equation time = dist/speed
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\n" ); document.write( "\"d%2F32\" + \"d%2F10\" = 6.3
\n" ); document.write( "mult eq by 160 to get rid of the denominators,
\n" ); document.write( "160*\"d%2F32\" + 160*\"d%2F10\" = 160(6.3)
\n" ); document.write( "results
\n" ); document.write( "5d + 16d = 1006
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\n" ); document.write( "21d = 1008
\n" ); document.write( "d = \"1008%2F21\"
\n" ); document.write( "d = 48 mi
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\n" ); document.write( "check solution by finding the total time
\n" ); document.write( "48/32 = 1.5
\n" ); document.write( "48/10 = 4.8
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\n" ); document.write( "total = 6.3 hr, confirms our solution
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