document.write( "Question 594557: A small plane was scheduled to fly from Atlanta to
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document.write( "Washington D.C. The plane flies at a constant speed of 150 miles per hour. However, the flight was against a strong head wind of 10 miles per hour. The threat of mechanical failure forced the plane to turn back and it returned to Atlanta with a tail wind of 10 miles per hour, land 1.5 hours after it had taken off.
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document.write( "a. How far had the plane traveled before turning back?
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document.write( "b. What was the planes average speed? \n" );
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Algebra.Com's Answer #376814 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the distance the plane traveled be x miles\r \n" ); document.write( "\n" ); document.write( "speed of plane = 150 mph \n" ); document.write( "forward speed against wind = 150-10 = 140 mph\r \n" ); document.write( "\n" ); document.write( "Return speed with wind = 150+10 = 160 mph\r \n" ); document.write( "\n" ); document.write( "Time forward + time return = 1.5 hours\r \n" ); document.write( "\n" ); document.write( "x/140 + x/160 = 1.5 \r \n" ); document.write( "\n" ); document.write( "multiply by LCD\r \n" ); document.write( "\n" ); document.write( "160x+140x = 1.5 * 160*140\r \n" ); document.write( "\n" ); document.write( "300x= 33600 \n" ); document.write( "x=112 miles \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |