document.write( "Question 1017631: A cyclist travelling at 24km/htakes 15 minutes longer to complete a certain distance than his competitor travelling at 32km/h. Calculate the distance covered. \n" ); document.write( "

Algebra.Com's Answer #633981 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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cyclist traveling at 24km/h takes 15 minutes longer to complete a certain distance than his competitor traveling at 32km/h.
\n" ); document.write( " Calculate the distance covered.
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\n" ); document.write( "let d = the distance each covers
\n" ); document.write( "change 15 min to .25 hrs
\n" ); document.write( "Write a time equation, time = dist/speed
\n" ); document.write( " $\"d%2F24\"$ - $\"d%2F32\"$ = .25
\n" ); document.write( "multiply equation by the least common denominator, 96; cancel the denominators
\n" ); document.write( "4d - 3d = 96(.25)
\n" ); document.write( "d = 24 mi is the distance
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the actual time
\n" ); document.write( "24/24 = 1 hr
\n" ); document.write( "24/32 = .75 hrs
\n" ); document.write( "----------------
\n" ); document.write( "difference .25 hrs \n" ); document.write( "

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