document.write( "Question 1113691: Alan is a faster runner than bill. Alan runs three yards every second and Bill runs 2.5 yards per second. Alan gives Bill a 35 yard head start in a race and reaches the finish line exactly 2 seconds before bill. How many yards did allan run? \n" ); document.write( "

Algebra.Com's Answer #728774 by ikleyn(52864) $\"\"$ $\"About$

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document.write( "Let L be the unknown distance (in yards).\r\n" );
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document.write( "Then the \"time\" equation is\r\n" );
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document.write( " =  - 2.\r\n" );
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document.write( "Left side is Alan's time.  Right side is the Bill's time minus 2 seconds.\r\n" );
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document.write( "Multiply both sides by 7.5. You will get\r\n" );
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document.write( "2.5L = 3*(L-35) - 15\r\n" );
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document.write( "2.5L = 3L - 105 - 15\r\n" );
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document.write( "2.5L = 3L - 120\r\n" );
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document.write( "120 = 3L - 2.5L \r\n" );
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document.write( "120 = 0.5L  ====>  L =  = 240.\r\n" );
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document.write( "Answer.  The distance is 240 yards.\r\n" );
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