document.write( "Question 937943: Please help me solve this word problem: \r
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document.write( "Traveling with the wind, a plane takes 2 1/2 hours to fly a distance of 1500 miles. The return flight against the wind takes 3 hours. Find the speed of the plane and the speed of the wind.
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document.write( "Thank you for reading and please help me as soon as possible.
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Algebra.Com's Answer #571313 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Traveling with the wind, a plane takes 2 1/2 hours to fly a distance of 1500 miles. \n" ); document.write( " The return flight against the wind takes 3 hours. \n" ); document.write( " Find the speed of the plane and the speed of the wind. \n" ); document.write( ": \n" ); document.write( "let s = speed of the plane \n" ); document.write( "let w = speed of the wind \n" ); document.write( "then \n" ); document.write( "(s+w) = the effective speed with the wind \n" ); document.write( "and \n" ); document.write( "(s-w) = effective speed against the wind \n" ); document.write( ": \n" ); document.write( "Write a distance equation for each way; dist = time * speed \n" ); document.write( "2.5(s+w) = 1500 \n" ); document.write( "3(s-w) = 1500 \n" ); document.write( "Simplify both equations, divide the 1st by 2.5 and the 2nd by 3, resulting in: \n" ); document.write( "s + w = 600 \n" ); document.write( "s - w = 500 \n" ); document.write( "---------------Adding eliminates w, find s \n" ); document.write( "2s = 1100 \n" ); document.write( "s = 1100/2 \n" ); document.write( "s = 550 mph speed of the plane \n" ); document.write( "Find w \n" ); document.write( "550 + w = 600 \n" ); document.write( "w = 600 - 550 \n" ); document.write( "w = 50 mph is the speed of the wind \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this using the original 2nd equation \n" ); document.write( "3(550 - 50) = 1500 \n" ); document.write( "3(500) = 1500 \n" ); document.write( " |