document.write( "Question 769242: A plane can travel 910 miles with a 35 mph tailwind in the same time it can travel 760 miles with a 40 mph headwind. How fast can the plane travel with no wind resistance? \n" ); document.write( "
Algebra.Com's Answer #468723 by josgarithmetic(39800)\"\" \"About 
You can put this solution on YOUR website!
Basic concept is r*t=d, r rate, t time, d distance.
\n" ); document.write( "Including tailwind help, rate is r+35.
\n" ); document.write( "Including headwind hindrance, rate is r-40.\r
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\n" ); document.write( "\n" ); document.write( "910 mph with tailwind, time t, distance unknown.
\n" ); document.write( "\"r%2B35=910%2Ft\"
\n" ); document.write( "760 mph with headwind, time t, distance unknown.
\n" ); document.write( "\"r-40=760%2Ft\"\r
\n" ); document.write( "\n" ); document.write( "Those two equations just use the meaning of rate for traveling or motion. MILES per TIME. \r
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\n" ); document.write( "\n" ); document.write( "\"in the same time...\" The value for t is the same number in both equations.
\n" ); document.write( "\"t%28r%2B35%29=910\"
\n" ); document.write( "\"t=910%2F%28r%2B35%29\"
\n" ); document.write( "and
\n" ); document.write( "\"t%28r-40%29=760\"
\n" ); document.write( "\"t=760%2F%28r-40%29\"\r
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\n" ); document.write( "\n" ); document.write( "EQUATE the expressions for t:
\n" ); document.write( "\"highlight%28910%2F%28r%2B35%29=760%2F%28r-40%29%29\"
\n" ); document.write( "SOLVE FOR r.
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