document.write( "Question 195887: An airplane travels 500 miles against the wind in 5 hours and makes the return trip with the same wind in 2 hours. Find the rate of the wind.\r
\n" ); document.write( "\n" ); document.write( "I believe I should use d=rt but everthing I plug in seems incorrect. Thank you in advance for your help. \n" ); document.write( "
Algebra.Com's Answer #146897 by ankor@dixie-net.com(22740)\"\" \"About 
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An airplane travels 500 miles against the wind in 5 hours and makes the return
\n" ); document.write( " trip with the same wind in 2 hours. Find the rate of the wind.
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\n" ); document.write( "Let w = the rate of the wind
\n" ); document.write( "Let s = speed of the plane in still air
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\n" ); document.write( "Write a distance equation for each trip
\n" ); document.write( "5(s-w) = 500; against the wind
\n" ); document.write( "2(s+w) = 500; with the wind
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\n" ); document.write( "Simplify, divide the 1st equation by 5, the 2nd equation by 2:
\n" ); document.write( "s - w = 100
\n" ); document.write( "s + w = 250
\n" ); document.write( "---------------addition eliminates w, find s
\n" ); document.write( "2s = 350
\n" ); document.write( "s = \"350%2F2\"
\n" ); document.write( "s = 175 mph, speed of the plane
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\n" ); document.write( "Use s + w = 250, to find w
\n" ); document.write( "175 + w = 250
\n" ); document.write( "w = 250 - 175
\n" ); document.write( "w = 75 mph is the wind
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\n" ); document.write( "Check solution in the 1st equation
\n" ); document.write( "5(s - w) = 500
\n" ); document.write( "5(175 - 75) = 500
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