document.write( "Question 1071925: Two cars leave Chicago, one traveling east and the other west. After 4 hours they are 492 miles apart. If one car is traveling 7 mph faster than the other, find the speed of each. \n" ); document.write( "

Algebra.Com's Answer #686834 by ikleyn(52797) $\"\"$ $\"About$

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document.write( "Let \"r\" be the rate of the slower car, in mph.\r\n" );
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document.write( "Then the speed of the faster car is (r+7) mph.\r\n" );
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document.write( "In 4 hours, the slower car covered the distance of 4*r miles, while the faster car covered the distance of 4*(r+7) miles.\r\n" );
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document.write( "The sum of these distances is 492 miles, which gives you ann equation\r\n" );
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document.write( "4r + 4*(r+7) = 492.\r\n" );
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document.write( "4r + 4r + 28 = 492,\r\n" );
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document.write( "8r = 492 - 28  --->  8r = 464  --->  r =  = 58.\r\n" );
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document.write( "Answer. The slower car speed was 58 mph.  The faster car speed was 58+7 = 65 mph.\r\n" );
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