document.write( "Question 1072602: Janet is training for a triathlon. Yesterday she jogged for 12 miles and then cycled another 31.5 miles. Her speed while cycling was 6 miles per hour faster than while jogging. If the total time for jogging and cycling was 3.75 hours, at what rate did she cycle. \n" ); document.write( "

Algebra.Com's Answer #687463 by josgarithmetic(39617) $\"\"$ $\"About$

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r, speed cycled
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document.write( "               SPEED       TIME           DISTANCE\r\n" );
document.write( "JOG             r-6        12/(r-6)        12\r\n" );
document.write( "CYCLE           r          31.5/r          31.5\r\n" );
document.write( "Total                       3.75\r\n" );
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\n" ); document.write( "\n" ); document.write( " $\"12%2F%28r-6%29%2B31.5%2Fr=3.75\"$ \r
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\n" ); document.write( "\n" ); document.write( "Multiply both sides by $\"r%28r-6%29\"$ and simplify......\r
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\n" ); document.write( "\n" ); document.write( " $\"r%5E2-17.6r%2B50.4=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Discriminant, $\"10.4%5E2\"$
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\n" ); document.write( "Solutions found to the quadratic, $\"system%28r=3.6%2COR%2Chighlight_green%28highlight_green%28r=14%29%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Only the 14 mile per hour value is meaningful. \n" ); document.write( "

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