document.write( "Question 1192859: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at different times. When they are 575 miles​ apart, their combined travel time is 11 hours. If Thaddeus drives at a rate of 50 miles per hour and Ian drives at a rate of 55 miles per​ hour, how long had each been​ driving?\r
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Algebra.Com's Answer #824783 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Make this chart\r\n" );
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document.write( "          |  Distance |  Rate  |  Time |\r\n" );
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document.write( "Thaddeus  |           |        |       |\r\n" );
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document.write( "   Ian    |           |        |       |\r\n" );
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document.write( "Fill in their given rates:\r\n" );
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document.write( "          |  Distance |  Rate  |  Time |\r\n" );
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document.write( "Thaddeus  |           |   50   |       |\r\n" );
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document.write( "   Ian    |           |   55   |       |\r\n" );
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document.write( "We want to know their driving times. \r\n" );
document.write( "Let x = Thaddeus's time.  Then since their\r\n" );
document.write( "total driving time is 11, Ian's time is 11-x.\r\n" );
document.write( "Fill those in:\r\n" );
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document.write( "          |  Distance |  Rate  |  Time |\r\n" );
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document.write( "Thaddeus  |           |   50   |   x   |\r\n" );
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document.write( "   Ian    |           |   55   | 11-x  |\r\n" );
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document.write( "Now since Distance = Rate x Time, we fill in the \r\n" );
document.write( "distances by multiplying:\r\n" );
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document.write( "          |  Distance |  Rate  |  Time |\r\n" );
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document.write( "Thaddeus  |    50x    |   50   |   x   |\r\n" );
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document.write( "   Ian    |  55(11-x) |   55   | 11-x  |\r\n" );
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document.write( "Since they are 575 miles apart, and since they\r\n" );
document.write( "traveled in opposite directions,\r\n" );
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document.write( "Thaddeus' distance + Ian's distance = 575 miles\r\n" );
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document.write( "50x + 55(11-x) = 575\r\n" );
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document.write( "Solve that for x.  That will be Thaddeus's time.\r\n" );
document.write( "Subtract from 11 and that will be Ian's time.\r\n" );
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document.write( "Edwin
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