document.write( "Question 1101219: On Monday, the Davis family left home to drive to a resort in California for vacation. They drove at an average rate of 48 miles per hour. On Saturday, they drove back the same route, traveling at an average rate of only 32 miles per hour because of road construction. If the Davis family spent a total of 10 hours driving to and from the resort in California, how many miles did they travel from their house to the resort?\r
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Algebra.Com's Answer #715776 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let D be the distance from their home to the resort, in miles.\r\n" );
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document.write( "The way from the home to the resort at 48 mph took    hours  ( = ).\r\n" );
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document.write( "The returning trip at 32 mph took    hours.\r\n" );
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document.write( "As the condition says, the two-ways trip took 10 hours, in all.\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( " +  = 10.\r\n" );
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document.write( "To solve it, multiply both sides by 96  (which is less common multiple of the numbers 48 and 32). You will get\r\n" );
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document.write( "2D + 3D = 96*10  ====>  5D = 960  ====>  D =  = 192.\r\n" );
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document.write( "Answer.  The one way distance is 192 miles.\r\n" );
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document.write( "Check.    +  = 4 + 6 = 10 hours.  ! Correct !\r\n" );
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