document.write( "Question 1207191: Secretariat completed the race in 144 seconds, and Twice a Prince finished in 148.6 seconds. How far was the race in feet if Secretariat ran about 1.7 feet per second faster than Twice a Prince? Round answer to the nearest whole number. \n" ); document.write( "

Algebra.Com's Answer #844926 by ikleyn(52809) $\"\"$ $\"About$

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\n" ); document.write( "Secretariat completed the race in 144 seconds, and Twice a Prince finished
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\n" ); document.write( "Round answer to the nearest whole number.
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document.write( "Let x be the rate of Twice the Prince (in ft/s);\r\n" );
document.write( "then the rate of Secretariat is (x+1.7) ft/s.\r\n" );
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document.write( "The distance is the same for both runners, so we can write this equation for the distance\r\n" );
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document.write( "    144*(x+1.7) = 148.6x.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    144x + 144*1.7 = 148.6x\r\n" );
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document.write( "    244.8 = 148.6x - 144x\r\n" );
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document.write( "    244.8 = 4.6x\r\n" );
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document.write( "        x = 244.8/4.6 = 53.21739\r\n" );
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document.write( "Thus the rate of Twice the Prince is 53.21739 ft/s and the distance is 148.6*x= 148.6*53.21739 = 7908.1 feet.\r\n" );
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document.write( "ANSWER.  The distance is 7908 feet (rounded to nearest whole number of feet).\r\n" );
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