document.write( "Question 922103: A small plane flew 1030 miles in 5 hours with the wind. Then on the return trip, flying against the wind, it traveled only 730 miles in 5 hours. What were the wind velocity and the speed of the plane? \n" ); document.write( "
Algebra.Com's Answer #559375 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A small plane flew 1030 miles in 5 hours with the wind. Then on the return trip, flying against the wind, it traveled only 730 miles in 5 hours. What were the wind velocity and the speed of the plane? \n" ); document.write( "---- \n" ); document.write( "With-wind DATA: \n" ); document.write( "distance = 1030 miles ; time = 5 hrs ; rate = 206 mph \n" ); document.write( "---- \n" ); document.write( "Against-wind DATA: \n" ); document.write( "distance = 730 miles ; time = 5 hrs ; rate = 146 mph \n" ); document.write( "------- \n" ); document.write( "Equations: \n" ); document.write( "p + w = 206 mph \n" ); document.write( "p - w = 146 mph \n" ); document.write( "----- \n" ); document.write( "Add and solve for \"p\":: \n" ); document.write( "2p = 352 \n" ); document.write( "p = 176 mph (plane speed with no wind) \n" ); document.write( "---- \n" ); document.write( "Solve for \"w\":: \n" ); document.write( "Sutract and solve for \"w\": \n" ); document.write( "2w = 60 \n" ); document.write( "w = 30 mph (wind speed) \n" ); document.write( "---------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------------- \n" ); document.write( " |