document.write( "Question 1093155: On a drive from one city to another, Victor averaged 34 mph. If he had been able to average 48 mph, he would have reached his destination 7 hrs earlier. What is the driving distance between one city and the other? \n" ); document.write( "

Algebra.Com's Answer #707754 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Let D be the distance between cities, in miles.\r\n" );
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document.write( "Then Victor traveled this distance in  hours at the speed 34 mph.\r\n" );
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document.write( "Had he moved at the speed 48 mph, he would cover this distance in  hours.\r\n" );
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document.write( "The condition says that the difference   -  is 7 hours.\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( " -   = 7.\r\n" );
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document.write( "To solve it, multiply both sides by 34*48. You will get\r\n" );
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document.write( "48D - 34D = 7*34*48,   or\r\n" );
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document.write( "14D = 7*34*48  ====>  D =  = 34*24 = 816 miles.\r\n" );
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document.write( "Answer.  The distance between cities is 816 miles.\r\n" );
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