document.write( "Question 581323: A cyclist rode the first 16 mile-portion of his workout at a constant speed. For the 12 mile cool down portion of his workout, he reduced his speed by 2 miles per hour. Each portion took the same time. Find his speed during the first portion and the second cool down portion. \n" ); document.write( "
Algebra.Com's Answer #371560 by stanbon(75887)\"\" \"About 
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A cyclist rode the first 16 mile-portion of his workout at a constant speed. For the 12 mile cool down portion of his workout, he reduced his speed by 2 miles per hour. Each portion took the same time. Find his speed during the first portion and the second cool down portion.
\n" ); document.write( "----
\n" ); document.write( "1st portion DATA:
\n" ); document.write( "distance = 16 miles ; rate = x mph ; time = d/r = 16/x hrs
\n" ); document.write( "----
\n" ); document.write( "2nd portion DATA:
\n" ); document.write( "distance = 12 miles ; rate = (x-2)mph ; time = 12/(x-2) hrs
\n" ); document.write( "-------
\n" ); document.write( "Equation:
\n" ); document.write( "time = time
\n" ); document.write( "16/x = 12/(x-2)
\n" ); document.write( "16x-32 = 12x
\n" ); document.write( "4x = 32
\n" ); document.write( "x = 8 mph (rate of 1st portion)
\n" ); document.write( "---
\n" ); document.write( "x-2 = 6 mph (rate on 2nd portion)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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