document.write( "Question 969855: A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #592582 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind. \n" ); document.write( "---- \n" ); document.write( "With wind DATA: \n" ); document.write( "rate = 300+w ; distance = 600 miles ; time = d/r = 600/(300+w) \n" ); document.write( "------ \n" ); document.write( "Against wind DATA: \n" ); document.write( "rate = 300-w ; distance = 400 miles ; time = d/r = 400/(300-w) \n" ); document.write( "-------------------- \n" ); document.write( "Equations: \n" ); document.write( "time = time \n" ); document.write( "600/(300+w) = 400/(300-w) \n" ); document.write( "600*300 - 600w = 400*300 + 400w \n" ); document.write( "---- \n" ); document.write( "1000w = 60000 \n" ); document.write( "w = 60 mph (speed of the wind) \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------- \n" ); document.write( " |