document.write( "Question 431703: One plane traveled 800 miles in the same time a second plane traveled 1,000 miles. The rate of the second plane was 50 mi/h faster than the rate of the first plane. How fast did each plane fly? \n" ); document.write( "

Algebra.Com's Answer #853252 by ikleyn(53427) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "One plane traveled 800 miles in the same time a second plane traveled 1,000 miles.
\n" ); document.write( "The rate of the second plane was 50 mi/h faster than the rate of the first plane.
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\n" ); document.write( "\n" ); document.write( " Calculations in the post by @mananth are irrelevant to the given problem in the post.\r
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document.write( "Plane A x     800 miles\r\n" );
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document.write( "Plane B x+50 1000 miles\r\n" );
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document.write( "Write time equation, saying that the fly time is the same in both cases\r\n" );
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document.write( "     = \r\n" );
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document.write( "To solve it, cross multiply; then simplify\r\n" );
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document.write( "    800*(x + 50) = 1000*x\r\n" );
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document.write( "    8*(x + 50)   = 10*x\r\n" );
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document.write( "    8x + 400     = 10x\r\n" );
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document.write( "    10x - 8x     = 400\r\n" );
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document.write( "       2x        = 400\r\n" );
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document.write( "        x        = 400/2 = 200.\r\n" );
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document.write( "ANSWER.  One plane speed is 200 mi/h;  the other plane speed is 200+50 = 250 mi/h\r\n" );
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document.write( "         Make a check to assure that the answer is valid.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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