document.write( "Question 217996: a twin-engined air craft can fly 1200 miles from city a to city b in 5 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?\r
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document.write( "be sure to define unknowns, set up a system of equations to solve and answer the question being asked. \n" );
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Algebra.Com's Answer #164250 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a twin-engined air craft can fly 1200 miles from city a to city b in 5 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind? \n" ); document.write( "--------------------------------- \n" ); document.write( "A to B DATA: \n" ); document.write( "distance = 1200 miles ; time = 5 hrs. ; rate = d/t = 1200/5 = 240 mph \n" ); document.write( "--------------------------------- \n" ); document.write( "B to A DATA: \n" ); document.write( "distance = 1200 miles ; time = 8 hrs. ; rate = d/t = 1200/8 = 150 mph \n" ); document.write( "--------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "p + w = 240 mph \n" ); document.write( "p - w = 150 \n" ); document.write( "------------------ \n" ); document.write( "Add the two equations and solve for \"p\": \n" ); document.write( "2p = 390 \n" ); document.write( "p = 195 mph (speed of the plane in still air) \n" ); document.write( "--- \n" ); document.write( "Substitute into p+w=240 to solve for \"w\"; \n" ); document.write( "195 + w = 240 \n" ); document.write( "w = 45 mph (speed of the wind) \n" ); document.write( "================================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |