document.write( "Question 260910: A plane can fly 160 mph in calm air. Flying with the wind, the plane can fly 500 miles in the same amount of time required to fly 420 miles against the wind. What is the speed of the plane? ok so the answer is supposed to be 13.9 mph but i don't know how to set up me equations. \n" ); document.write( "
Algebra.Com's Answer #192217 by Greenfinch(383)\"\" \"About 
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Speed against wind is 160 - v
\n" ); document.write( "Speed with wind is 160 + v
\n" ); document.write( "Time to fly 500 miles with wind is 500/(160 1+ v)
\n" ); document.write( "Time to fly 420 mile against wind is 420/(160 - v)
\n" ); document.write( "And they are equal
\n" ); document.write( "so 500/(160 + v) = 420/(160 - v)
\n" ); document.write( "multiplying up
\n" ); document.write( "500x(160 - v) = 420x(160 + v)
\n" ); document.write( "80,000 - 500v = 67200 + 420v
\n" ); document.write( "12800 = 920v
\n" ); document.write( "v = 12800/920 = 13.913 mph
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