document.write( "Question 786489: Mar T. Ello participated in a triathlon in which he swam 3 miles, ran 5 miles and then bicycled 10 miles. Mar ran twice as fast as he swam, and he cycled three times as fast as he swam. If his total time for the triathlon was 1 hour and 46 minutes, then how fast did he swim? \n" ); document.write( "
Algebra.Com's Answer #477901 by Edwin McCravy(20059)\"\" \"About 
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Mar T. Ello participated in a triathlon in which he swam 3 miles, ran 5 miles and then bicycled 10 miles. Mar ran twice as fast as he swam, and he cycled three times as fast as he swam. If his total time for the triathlon was 1 hour and 46 minutes, then how fast did he swim?
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document.write( "Let \r\n" );
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document.write( "His swimming speed = x miles/hour\r\n" );
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\n" ); document.write( "Mar ran twice as fast as he swam,
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document.write( "So\r\n" );
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document.write( "His running speed = 2x miles/hour\r\n" );
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\n" ); document.write( "he cycled three times as fast as he swam
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document.write( "So \r\n" );
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document.write( "His bicycling speed = 3x miles hour.\r\n" );
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\n" ); document.write( "he swam 3 miles
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document.write( "Since TIME = \"DISTANCE%2FSPEED\" he swam for \"3%2Fx\" of an hour\r\n" );
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\n" ); document.write( "ran 5 miles
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document.write( "Since TIME = \"DISTANCE%2FSPEED\" he swam for \"5%2F%282x%29\" of an hour\r\n" );
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\n" ); document.write( "and then bicycled 10 miles
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document.write( "Since TIME = \"DISTANCE%2FSPEED\" he swam for \"10%2F%283x%29\" of an hour\r\n" );
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document.write( "Total time = \"3%2Fx\"\"%22%22%2B%22%22\"\"5%2F%282x%29\"\"%22%22%2B%22%22\"\"10%2F%283x%29\"\r\n" );
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\n" ); document.write( "his total time for the triathlon was 1 hour and 46 minutes
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document.write( "So we set the expression for the total time equal to \"1%2646%2F60\"\"%22%22=%22%22\"\"1%2623%2F30\"\"%22%22=%22%22\"\"53%2F30\" hours\r\n" );
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document.write( "\"3%2Fx\"\"%22%22%2B%22%22\"\"5%2F%282x%29\"\"%22%22%2B%22%22\"\"10%2F%283x%29\" \"%22%22=%22%22\" \"53%2F30\"\r\n" );
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document.write( "Clear of fractions by multiplying through by the LCD of 30x\r\n" );
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document.write( "90 + 75 + 100 = 53x\r\n" );
document.write( "          265 = 53x\r\n" );
document.write( "          \"265%2F53\" = x\r\n" );
document.write( "            5 = x\r\n" );
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document.write( "His swimming speed = x miles/hour = 5 miles/hour\r\n" );
document.write( "His running speed = 2x miles/hour = 2(5) = 10 miles/hour\r\n" );
document.write( "His bicycling speed = 3x miles hour = 3(5) = 15 miles/hour.\r\n" );
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document.write( "Edwin
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