document.write( "Question 189480: This is from a worksheet given by my professor, not from a textbook.\r
\n" ); document.write( "\n" ); document.write( "Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the same point. The slower bicyclist arrives at the end of the course a half-hour after the other bicyclist. Find the distance of the ride. Round to the nearest whole mile.
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Algebra.Com's Answer #142141 by ankor@dixie-net.com(22740)\"\" \"About 
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Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the
\n" ); document.write( " same point. The slower bicyclist arrives at the end of the course a half-hour
\n" ); document.write( " after the other bicyclist. Find the distance of the ride.
\n" ); document.write( " Round to the nearest whole mile.
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\n" ); document.write( "Let d = distance of the ride:
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\n" ); document.write( "Write a time equation; Time = \"dist%2Fspeed\"
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\n" ); document.write( "14mph biker time = 18mph biker time + one-half hr
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\n" ); document.write( "\"d%2F14\" = \"d%2F18\" + \"1%2F2\"
\n" ); document.write( "Multiply equation by 252; (14*18)results:
\n" ); document.write( "18d = 14d + 126
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\n" ); document.write( "18d - 14d + 126
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\n" ); document.write( "4d = 126
\n" ); document.write( "d = \"126%2F4\"
\n" ); document.write( "d = 31.5 ~ 32 mi
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\n" ); document.write( "Check solution by finding the times of each
\n" ); document.write( "31.5/14 = 2.25
\n" ); document.write( "31.5/18 = 1.75
\n" ); document.write( "-------------
\n" ); document.write( "dif = .5 hr
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