document.write( "Question 397197: Beth was required to make a cross-country flight in training for her pilot's license. When she flew from her home airport, a steady 30 miles per hour wind was behind her, and the trip took 5 hours. When she returned against the wind, the flight took 7 hours. Find the plane's speed in still air and the distance traveled each way. \n" ); document.write( "

Algebra.Com's Answer #281569 by mananth(16946) $\"\"$ $\"About$

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Beth was required to make a cross-country flight in training for her pilot's license. When she flew from her home airport, a steady 30 miles per hour wind was behind her, and the trip took 5 hours. When she returned against the wind, the flight took 7 hours. Find the plane's speed in still air and the distance traveled each way.\r
\n" ); document.write( "\n" ); document.write( "plane's speed = x mph
\n" ); document.write( "..
\n" ); document.write( "with wind speed = x+30
\n" ); document.write( "against wind = x-30
\n" ); document.write( "...
\n" ); document.write( "d=rt. d is same so equate the distance
\n" ); document.write( "5(x+30)=7(x-30)
\n" ); document.write( "5x+150=7x-210
\n" ); document.write( "7x-5x=210+150
\n" ); document.write( "2x=360
\n" ); document.write( "/2
\n" ); document.write( "x= 180 mph speed in still air
\n" ); document.write( "..
\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "

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