document.write( "Question 357965: Marna's house is 22 miles from where she works. Each morning, she jogs at a rate of 6 mph to a bus stop and then completes the trip on a bus that averages 30 mph. If the entire trip takes 1 hour, how much time does Marna spend jogging? \n" ); document.write( "
Algebra.Com's Answer #255533 by Edwin McCravy(20056)\"\" \"About 
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Marna's house is 22 miles from where she works. Each morning, she jogs at a rate of 6 mph to a bus stop and then completes the trip on a bus that averages 30 mph. If the entire trip takes 1 hour, how much time does Marna spend jogging?
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document.write( "Make this chart:\r\n" );
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document.write( "                                 distance  = rate × time\r\n" );
document.write( "from home to bus stop jogging |           |      |      | \r\n" );
document.write( "from bus stop to work riding  |           |      |      |\r\n" );
document.write( "totals riding & jogging       |           |      |      |\r\n" );
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document.write( "Let x be the answer. So we fill in x for the time from home to\r\n" );
document.write( "the bus stop jogging\r\n" );
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document.write( "                                 distance  = rate × time\r\n" );
document.write( "from home to bus stop jogging |           |      |  x   | \r\n" );
document.write( "from bus stop to work riding  |           |      |      |\r\n" );
document.write( "totals riding & jogging       |           |      |      |\r\n" );
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document.write( "Next we fill in the rates of 6 mph and 30 mph\r\n" );
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document.write( "                                 distance  = rate × time\r\n" );
document.write( "from home to bus stop jogging |           |   6  |  x   | \r\n" );
document.write( "from bus stop to work riding  |           |  30  |      |\r\n" );
document.write( "totals riding & jogging       |           |      |      |\r\n" );
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document.write( "We fill in the total time of 1 hour\r\n" );
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document.write( "                                 distance  = rate × time\r\n" );
document.write( "from home to bus stop jogging |           |   6  |  x   | \r\n" );
document.write( "from bus stop to work riding  |           |  30  |      |\r\n" );
document.write( "totals riding & jogging       |           |      |  1   |\r\n" );
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document.write( "We fill in the total distance of 22 miles\r\n" );
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document.write( "                                 distance  = rate × time\r\n" );
document.write( "from home to bus stop jogging |           |   6  |  x   | \r\n" );
document.write( "from bus stop to work riding  |           |  30  |      |\r\n" );
document.write( "totals riding & jogging       |     22    |      |  1   |\r\n" );
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document.write( "Use Distance = Rate × Time to fill in her distance jogging to the\r\n" );
document.write( "bus stop from home.\r\n" );
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document.write( "                                 distance  = rate × time\r\n" );
document.write( "from home to bus stop jogging |     6x    |   6  |  x   | \r\n" );
document.write( "from bus stop to work riding  |           |  30  |      |\r\n" );
document.write( "totals riding & jogging       |     22    |      |  1   |\r\n" );
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document.write( "Use the principle:     \r\n" );
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document.write( "      Time riding = Total time riding and jogging -  time jogging  \r\n" );
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document.write( "to fill in the time from the bus stop to work riding the bus as 1-x.    \r\n" );
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document.write( "                                 distance  = rate × time\r\n" );
document.write( "from home to bus stop jogging |     6x    |   6  |  x   | \r\n" );
document.write( "from bus stop to work riding  |           |  30  | 1-x  |\r\n" );
document.write( "totals riding & jogging       |     22    |      |  1   |\r\n" );
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document.write( "Fill in the distance riding the bus using\r\n" );
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document.write( "                                         distance = rate × time\r\n" );
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document.write( "                                 distance  = rate × time\r\n" );
document.write( "from home to bus stop jogging |     6x    |   6  |  x   | \r\n" );
document.write( "from bus stop to work riding  |  30(1-x)  |  30  | 1-x  |\r\n" );
document.write( "totals riding & jogging       |     22    |      |  1   |\r\n" );
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document.write( "Now we form the equations from the principle:\r\n" );
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document.write( "Distance jogging + Distance riding = Total distance jogging and riding:\r\n" );
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document.write( "                  6x + 30(1-x) = 22\r\n" );
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document.write( "Solve that and get x = \"1%2F3\" of an hour or \"1%2F3\"\"%22%22%2A%22%22\"\"60min\" =\r\n" );
document.write( "20 minutes jogging and 40 minutes riding.\r\n" );
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document.write( "So the answer asked for is 20 minutes jogging.\r\n" );
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document.write( "Edwin
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