document.write( "Question 316822: A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight against the wind takes a half hour longer. What is the wind speed (rounded to the nearest mile per hour)? \n" ); document.write( "
Algebra.Com's Answer #226745 by Fombitz(32388)\"\" \"About 
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Rate*Time=Distance
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\n" ); document.write( "Let P be the plane speed in still air, W be the wind speed.
\n" ); document.write( "With the wind,
\n" ); document.write( "\"%28P%2BW%29%2A2.5=785\"
\n" ); document.write( "1.\"P%2BW=314\"
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\n" ); document.write( "Against the wind,
\n" ); document.write( "\"%28P-W%29%2A3=785\"
\n" ); document.write( "2.\"P-W=785%2F3\"
\n" ); document.write( "Add eq.1 to eq. 2,
\n" ); document.write( "\"P%2BW%2BP-W=314%2B785%2F3\"
\n" ); document.write( "\"2P=942%2F3%2B785%2F3\"
\n" ); document.write( "\"2P=1727%2F3\"
\n" ); document.write( "\"P=1727%2F6\"
\n" ); document.write( "Then use either equation to solve for W.
\n" ); document.write( "\"1727%2F6%2BW=314\"
\n" ); document.write( "\"W=1884%2F6-1727%2F6\"
\n" ); document.write( "\"W=157%2F6\" or approximately,
\n" ); document.write( "\"highlight%28W=26%29\" mph
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