document.write( "Question 1164046: I need your help with a rate, distance time, word problem. Sophie travels 189 miles in 7 hours. How long does it take for her to travel 216 miles? Please help, thank you! \n" ); document.write( "
Algebra.Com's Answer #788341 by ikleyn(52778)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            Even if you are a beginner student,  there are at least two different and simple ways to solve the problem.\r
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\n" ); document.write( "\n" ); document.write( "1.   Using the rate\r
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document.write( "    Then the problem is solved in two steps.\r\n" );
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document.write( "    First, you find the rate; next, you find the required time.\r\n" );
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document.write( "    The rate is the distance divided by the time.   In your case, it is\r\n" );
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document.write( "        rate = \"189%2F7\" = 27 miles per hour.\r\n" );
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document.write( "    Then the required time is  the distance divided by the rate:\r\n" );
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document.write( "        the required time = \"216%2F27\" = 8 hours.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "2.   Using proportions  (if you are familiar with it).\r
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document.write( "       \"189%2F7\" = \"216%2Fx\",\r\n" );
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document.write( "       where x is the unknown time.\r\n" );
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document.write( "       From the proportion,  x = \"%28216%2A7%29%2F189\" = 8 hours.\r\n" );
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document.write( "       You get the same answer.\r\n" );
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