document.write( "Question 1151459: Anita rode her bike from her home to the repair shop at an an average speed of 30 kph. She then walked home at an average speed of 6 kph. If her total traveling time was 45 minutes, what was the distance from her home to the repair shop? \n" ); document.write( "
Algebra.Com's Answer #773201 by Edwin McCravy(20064)\"\" \"About 
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Anita rode her bike from her home to the repair shop at an average speed of 30
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\n" ); document.write( "time was 45 minutes, what was the distance from her home to the repair shop?
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document.write( "We make a DRT-chart\r\n" );
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document.write( "         Distance |  Rate  |Time = Distance/Rate\r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "Riding  |         |        |       \r\n" );
document.write( "Walking |         |        |        \r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "                        Total time    \r\n" );
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document.write( "We let the distance from her home to the repair shop be x, and\r\n" );
document.write( "we fill in the given rates for riding. \r\n" );
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document.write( "         Distance |  Rate  |Time = Distance/Rate\r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "Riding  |   x     |   30   |       \r\n" );
document.write( "Walking |   x     |    6   |        \r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "                        Total time    \r\n" );
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document.write( "We fill in the times using Distance/rate and the\r\n" );
document.write( "total time of 45 minutes, which we change to 3/4 hour.\r\n" );
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document.write( "         Distance |  Rate  |Time = Distance/Rate\r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "Riding  |   x     |   30   |       x/30\r\n" );
document.write( "Walking |   x     |    6   |        x/6\r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "                       Total time   3/4\r\n" );
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document.write( "The equation comes from the right-most column:\r\n" );
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document.write( "\"x%2F30%2Bx%2F6=3%2F4\"\r\n" );
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document.write( "The LCD is 60 so multiply each term by 60 to clear the \r\n" );
document.write( "fractions:\r\n" );
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document.write( "\"2x%2B10x=45\"\r\n" );
document.write( "\"12x=45\"\r\n" );
document.write( "\"x=45%2F12\"\r\n" );
document.write( "\"x=+3%263%2F4\" kilometers.\r\n" );
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document.write( "Edwin
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