document.write( "Question 1134548: In a two-mile race, Ed can beat Faith by 1/5 of a mile. In a two-mile race,
\n" ); document.write( "Faith can beat Matt by 1/10 of a mile. If Ed and Matt were to have a two mile race, by how much would Ed win? \n" ); document.write( "

Algebra.Com's Answer #751994 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The solution by the tutor @ankor@dixie-net.com is WRONG.\r
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\n" ); document.write( "\n" ); document.write( "            What is even worst, it is CONCEPTUALLY wrong, which means that the idea of the solution is wrong. \r
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\n" ); document.write( "\n" ); document.write( "            The right solution should use the conceptions of velocities (rates) and rate ratios.\r
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\n" ); document.write( "\n" ); document.write( "            See my solution below.\r
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document.write( "Let    be the Ed's rate, in miles per hour;\r\n" );
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document.write( "       be the Faith's rate,  and\r\n" );
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document.write( "       be the Matt rate.\r\n" );
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document.write( "Since in a two-mile race, Ed can beat Faith by  = 0.2 of a mile, it means that the ratio of their rates is   =  = .\r\n" );
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document.write( "    It is totally clear: in that time as Ed will complete the 2 miles race, Faith will cover only 2-0.2 = 1.8 miles.\r\n" );
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document.write( "Next, since in a two-mile race, Faith can beat Math by  = 0.1 of a mile, it means that the ratio of their rates is   =  = .\r\n" );
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document.write( "It implies that the ratio of the rates   =  =  =  =  = .\r\n" );
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document.write( "It means that in the 2 miles race Ed can beat Matt by  2 - 1.71 = 0.29 miles.    ANSWER\r\n" );
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