document.write( "Question 732120: A cyclist rode the first 22-mile portion of his work at a constant speed. For the 14- mile cool down portion of his workout, he reduced his speed by 4 miles per hour. Each portion of the workout took the same time. Find the cyclist's speed during the first portion and find his speed during the cool down portion \n" ); document.write( "
Algebra.Com's Answer #447568 by lwsshak3(11628)\"\" \"About 
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A cyclist rode the first 22-mile portion of his work at a constant speed. For the 14- mile cool down portion of his workout, he reduced his speed by 4 miles per hour. Each portion of the workout took the same time. Find the cyclist's speed during the first portion and find his speed during the cool down portion.
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\n" ); document.write( "let x=speed during first portion(22 mi)
\n" ); document.write( "x-4=speed during cool down portion(14 mi)
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "..
\n" ); document.write( "22/x=14/(x-4)
\n" ); document.write( "14x=22x-88
\n" ); document.write( "8x=88
\n" ); document.write( "x=11
\n" ); document.write( "x-4=7
\n" ); document.write( "speed during first portion(22 mi)=11 mph
\n" ); document.write( "speed during cool down portion(14 mi)=7 mph
\n" ); document.write( "
\n" );