document.write( "Question 59796This question is from textbook intermediate algebra
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document.write( ": A plane flies 560mi in 1.75 hr traveling with the wind. The return trip later against the same ind takes the plane 2 hrs. Find the speed of the plane and the speed of the wind. \n" );
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Algebra.Com's Answer #41054 by stanbon(75887) ![]() You can put this solution on YOUR website! A plane flies 560mi in 1.75 hr traveling with the wind. The return trip later against the same ind takes the plane 2 hrs. Find the speed of the plane and the speed of the wind. \n" ); document.write( "------------ \n" ); document.write( "Downwind DATA: \n" ); document.write( "distance= 560 mi ; time = 1.75 hr ; rate = 560/1.75=320 mph \n" ); document.write( "----------- \n" ); document.write( "Upwind DATA: \n" ); document.write( "distance = 560 m ; time = 2 hr ; rate = 560/2=280 mph \n" ); document.write( "-------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "Let speed of plane be \"s\" and velocity of wind be \"w\". \n" ); document.write( "s+w=320 \n" ); document.write( "s-w=280 \n" ); document.write( "Add the equations to get: \n" ); document.write( "2s=600 \n" ); document.write( "s=300 mph (speed of the plane in still air) \n" ); document.write( "Substitute in one of the equations to find \"w\". \n" ); document.write( "300+w=320 \n" ); document.write( "w=20 mph (speed of the wind) \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |