document.write( "Question 1061144: Airplane A travels 2800 km at a certain speed.Plane B travels 2000 km at a speed 50 km/h faster than plane A in 3 hrs less time. find the speed of each plane? \n" ); document.write( "

Algebra.Com's Answer #675953 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Airplane A travels 2800 km at a certain speed.Plane B travels 2000 km at a speed 50 km/h faster than plane A in 3 hrs less time.
\n" ); document.write( "find the speed of each plane?
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document.write( "Let \"u\" be the speed of the faster plane (plane B).\r\n" );
document.write( "Then the speed of the plane A is (u-50) km/h.\r\n" );
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document.write( "The literal translation of the condition is this equation:\r\n" );
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document.write( " = 3.\r\n" );
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document.write( "Indeed,  is the time for the plane A, while  is the time for plane B.\r\n" );
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document.write( "To solve the equation, multiply both sides by u*(u-50). You will get\r\n" );
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document.write( "2800u - 2800(u-50) = 3u*(u-50),  or\r\n" );
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document.write( "3u^2 - 150u - 140000 = 0.\r\n" );
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document.write( "Solve this quadratic equation using the quadratic formula.\r\n" );
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