document.write( "Question 890301: Jay jay rode his bicycle against the wind for 1 hour and traveled 15 km. then he traveled back the same distance with the wind in 36 minutes, what was the rate of the wind? \n" ); document.write( "

Algebra.Com's Answer #538954 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Jay jay rode his bicycle against the wind for 1 hour and traveled 15 km.
\n" ); document.write( " then he traveled back the same distance with the wind in 36 minutes,
\n" ); document.write( " what was the rate of the wind?
\n" ); document.write( ":
\n" ); document.write( "Change 36 to hrs, 36/60 = .6 hrs
\n" ); document.write( ":
\n" ); document.write( "Let b = bike speed in still air
\n" ); document.write( "let w = rate of the the wind
\n" ); document.write( "then
\n" ); document.write( "(b-w) = effective speed against the wind
\n" ); document.write( "(b+w) = effective speed with the wind
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for each way, dist = time * speed
\n" ); document.write( "1(b-w) = 15
\n" ); document.write( "b = w + 15
\n" ); document.write( "and
\n" ); document.write( ".6(b+w) = 15
\n" ); document.write( "replace b = (w+15)
\n" ); document.write( ".6((w+15)+ w) = 15
\n" ); document.write( ".6(2w+15) = 15
\n" ); document.write( "1.2w + 9 = 15
\n" ); document.write( "1.2w = 15 - 9
\n" ); document.write( "1.2w = 6
\n" ); document.write( "w = 6/1.2
\n" ); document.write( "w = 5 km/h is the wind
\n" ); document.write( " \n" ); document.write( "

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