document.write( "Question 105148: An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. Find the speed of the airplane in still air. \n" ); document.write( "
Algebra.Com's Answer #76528 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. Find the speed of the airplane in still air. \n" ); document.write( ": \n" ); document.write( "Let s = speed in still air \n" ); document.write( ": \n" ); document.write( "(s+25) = speed with wind \n" ); document.write( "(s-25) = speed against the wind \n" ); document.write( ": \n" ); document.write( "The trip out and the trip back are equal distance. Write a distance equation. \n" ); document.write( "Distance = time * speed \n" ); document.write( ": \n" ); document.write( "5(s-25) = 4(s+25) \n" ); document.write( "5s - 125 = 4s + 100 \n" ); document.write( "5s - 4s = 100 + 125 \n" ); document.write( "s = 225 mph in still air \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the solution by finding the distances to be equal: \n" ); document.write( "Against: 5(200) = 1000 mi \n" ); document.write( "With: 4(250) = 1000 mi confirms our solution \n" ); document.write( " \n" ); document.write( " |