document.write( "Question 1127052: Hi!\r
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\n" ); document.write( "\n" ); document.write( "Achilles races with a tortoise, giving the tortoise a handicap of 990 yards. Achilles runs at a rate of 500 yards per minute while the tortoise runs at the rate of 5 yards per minute. How long will it take Achilles to catch the tortoise?\r
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Algebra.Com's Answer #743389 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "    The relative speed is  500 - 5 = 495 yards per minute.\r\n" );
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document.write( "    It is the rate of decreasing the distance between them, which initially was  990 yards.\r\n" );
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document.write( "    Hence, the time to catching up is   = 2 minutes.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is how physicists solve such problems (momentarily !)\r
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\n" ); document.write( "\n" ); document.write( "In Algebra, the canonical way is to write equations . . . \r
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document.write( "    Let t be the time under the question.\r\n" );
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document.write( "    Then the distance from the starting point of Achilles to the catching up point is 500*t yards.\r\n" );
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document.write( "    The tortoise will cover 5t yards, and it is 990 yards less then Achilles will cover.\r\n" );
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document.write( "    It gives you an equation\r\n" );
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document.write( "        500t - 5t = 990,\r\n" );
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document.write( "    which you can easily solve\r\n" );
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document.write( "        495t = 990  ====>  t = 990/495,  by obtaining the same answer  t= 2 minutes.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See introductory lessons on Travel and Distance problems\r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "They are written specially for you.\r
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\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r
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\n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r
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\n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r
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