document.write( "Question 936211: A cyclist can ride 8 miles with the wind in the same amount of time he can ride 5 miles against the wind. The speed of the wind is 4 miles per hour. Which equation can be used to find the speed of the cyclist? \n" ); document.write( "

Algebra.Com's Answer #569646 by srinivas.g(540) $\"\"$ $\"About$

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let cyclist speed be x miles per hour
\n" ); document.write( "speed of the wind ( w) = 4 miles per hour
\n" ); document.write( "relative speed in the direction of wind = x+4
\n" ); document.write( "relative speed against the direction of wind = x-4
\n" ); document.write( "distance traveled in the direction of wind = 8 miles
\n" ); document.write( "hence time taken = $\"+distance%2Fspeed\"$
\n" ); document.write( " = $\"8%2F%28x%2B4%29\"$
\n" ); document.write( "distance traveled against the wind = 5 miles
\n" ); document.write( " time taken = $\"+5%2F%28x-4%29\"$
\n" ); document.write( "but time taken in both cases is same
\n" ); document.write( " $\"+8%2F%28x%2B4%29+=5%2F%28x-4%29\"$
\n" ); document.write( "we have to solve above equation \n" ); document.write( "

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