document.write( "Question 937943: Please help me solve this word problem: \r
\n" ); document.write( "\n" ); 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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\n" ); 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)\"\" \"About 
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.
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\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
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\n" ); document.write( "Check this using the original 2nd equation
\n" ); document.write( "3(550 - 50) = 1500
\n" ); document.write( "3(500) = 1500
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