document.write( "Question 90372: It took the pilot a hour and a half to make a flight of 240 miles when flying against the wind. If the return trip took an hour and 12 minutes, what was the speed of the wind? \n" ); document.write( "
Algebra.Com's Answer #65586 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! It took the pilot a hour and a half to make a flight of 240 miles when flying against the wind. If the return trip took an hour and 12 minutes, what was the speed of the wind? \n" ); document.write( "--------------- \n" ); document.write( "Against the wind DATA: \n" ); document.write( "Time = 1.5 hrs ; distance = 240 miles; rate = d/t = 240/1.5 = 160 mph \n" ); document.write( "-------------- \n" ); document.write( "With the wind DATA: \n" ); document.write( "Time = 1.2 hrs ; distance = 240; rate = d/t = 240/1.2 = 200 mph \n" ); document.write( "--------------- \n" ); document.write( "Let speed of plane in calm air be p; Let speed of wind be w. \n" ); document.write( "EQUATIONS: \n" ); document.write( "p+w = 200 \n" ); document.write( "p-w = 160 \n" ); document.write( "Adding you get 2p=360 \n" ); document.write( "p = 180 (speed of plane in still air) \n" ); document.write( "180 + w = 200 \n" ); document.write( "w = 20 (speed of the wind) \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |