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)![]() ![]() ![]() You can put this solution on YOUR website! 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( "*** \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( " |