document.write( "Question 327192: Which set of equations would be used to solve this word problem?\r
\n" ); document.write( "\n" ); document.write( "An airplane flew 4.5 hours with a 45 mph head wind. The return trip with a tail wind of the same speed took 2.5 hours. Find the speed of the plane in still air.\r
\n" ); document.write( "\n" ); document.write( "a.] None of these systems can be used to solve this problem.\r
\n" ); document.write( "\n" ); document.write( "b.] d = 7(r + 45)\r
\n" ); document.write( "\n" ); document.write( "c.] d = 4.5(r + 45) and d = 2.5(r − 45)\r
\n" ); document.write( "\n" ); document.write( "d.] d = 4.5(r − 45) and d = 2.5(r + 45)
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Algebra.Com's Answer #234382 by galactus(183)\"\" \"About 
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A head wind means it is flying into the wind and a tail wind means it is flying with the wind.\r
\n" ); document.write( "\n" ); document.write( "The rate with the wind(tailwind) is r+45\r
\n" ); document.write( "\n" ); document.write( "The rate against the wind(headwind) is r-45\r
\n" ); document.write( "\n" ); document.write( "Since d=rt, we have 4.5(r-45)=2.5(r+45)\r
\n" ); document.write( "\n" ); document.write( "4.5r-202.5=2.5r+112.5\r
\n" ); document.write( "\n" ); document.write( "2r=315\r
\n" ); document.write( "\n" ); document.write( "r=157.5 mph
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