document.write( "Question 1058304: A cyclist traveled 60 mi at a constant rate before reducing the speed by 12 mph. Another 40 mi was traveled at the reduced speed. The total time for the 100-mile trip was 8 h. Find the rate during the first 60 mi. \n" ); document.write( "

Algebra.Com's Answer #673342 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A cyclist traveled 60 mi at a constant rate before reducing the speed by 12 mph. Another 40 mi was traveled at the reduced speed.
\n" ); document.write( "The total time for the 100-mile trip was 8 h. Find the rate during the first 60 mi.
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document.write( "Setup is this equation\r\n" );
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document.write( " = 8.\r\n" );
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document.write( "Here  is the time in hours to cover the distance of 60 km at the rate x .\r\n" );
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document.write( " is the time to cover 40 km at the reduced speed (x-12) .\r\n" );
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document.write( "Setup is done. The rest is arithmetic.\r\n" );
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document.write( "To solve equation (1), multiply both sides by x*(x-12).\r\n" );
document.write( "Then simplify and solve the quadratic equation.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. x = 20 $\"km%2Fh\"$ .\r
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