document.write( "Question 118215: An airplane traveled 2660 miles in 3.5 hours with a tail wind. The return trip took 3.8 hours with a head wind. What was the speed of the airplane in still air? What was the speed of the wind? Solve by using a system oi\f equations. \n" ); document.write( "
Algebra.Com's Answer #86311 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An airplane traveled 2660 miles in 3.5 hours with a tail wind. \n" ); document.write( "The return trip took 3.8 hours with a head wind. \n" ); document.write( "What was the speed of the airplane in still air? \n" ); document.write( "What was the speed of the wind? \n" ); document.write( "Solve by using a system oi\f equations \n" ); document.write( "--------------- \n" ); document.write( "Let airplane speed be \"p\"; Let wind speed be \"w\" \n" ); document.write( "--------------- \n" ); document.write( "With-the-wind DATA: \n" ); document.write( "Distance = 2660 mi ; Time = 3.5 hrs ; Rate = d/t = 2660/3.5 = 760 mph \n" ); document.write( "----------------- \n" ); document.write( "Against-the-wind DATA: \n" ); document.write( "Distance = 2660 mi; Time = 3.8 hrs ; Rate = d/t = 2660/3.8 = 700 mph \n" ); document.write( "------------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "p+w = 760 \n" ); document.write( "P-w = 700 \n" ); document.write( "----------- \n" ); document.write( "Add to get: \n" ); document.write( "2p = 1460 \n" ); document.write( "p = 730 mph (speed of the place in still air) \n" ); document.write( "-------------- \n" ); document.write( "Solve for \"w\": \n" ); document.write( "p+w = 760 \n" ); document.write( "730+w = 760 \n" ); document.write( "w = 30 mph (speed of the wind) \n" ); document.write( "---------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |