document.write( "Question 433418: With the wind, the plane can fly 3000 miles in 5 hours. Against the same wind, the trip takes 6 hours. Find the airspeed of the plane. \n" ); document.write( "
Algebra.Com's Answer #300437 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! With the wind, the plane can fly 3000 miles in 5 hours. Against the same wind, the trip takes 6 hours. Find the airspeed of the plane. \n" ); document.write( "---------------\r \n" ); document.write( "\n" ); document.write( "with-wind DATA: \n" ); document.write( "dist = 3000 miles ; time = 5 hrs ; rate = d/t = 3000/5 = 600 mph \n" ); document.write( "------------- \n" ); document.write( "against-wind DATA: \n" ); document.write( "dist = 3000 miles ; time = 6 hrs ; rate = 3000/6 = 500 mph \n" ); document.write( "---------------- \n" ); document.write( "Equations: \n" ); document.write( "p + w = 600 \n" ); document.write( "p - w = 500 \n" ); document.write( "------------------ \n" ); document.write( "Add and solve for \"p\": \n" ); document.write( "2p = 1100 \n" ); document.write( "p = 550 (speed of the plane in still air) \n" ); document.write( "--- \n" ); document.write( "Solve for \"w\": \n" ); document.write( "p + w = 600 \n" ); document.write( "550 + w = 600 \n" ); document.write( "w = 50 mph (speed of the wind) \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |