document.write( "Question 1164426: Lewiston and Vernonville are 144 miles apart. A car leaves traveling towards Vernonville, and another car leaves Vernonville at the same time, traveling towards Lewiston . The car leaving averages 10 miles per hour more than the other, and they meet after 1 hour and 36 minutes. What are the average speeds of the cars? \n" ); document.write( "

Algebra.Com's Answer #788824 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let u be the rate of the slower car (in mph).\r\n" );
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document.write( "Then the rate of the faster car is (u+10) mph.\r\n" );
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document.write( "The total distance equation is\r\n" );
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document.write( "    144 = ,     (1)\r\n" );
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document.write( "where   represents the time  of 1 hour and 36 minutes.\r\n" );
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document.write( "Since  =  = , you simplify equation (1)\r\n" );
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document.write( "    144 = .\r\n" );
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document.write( "Next, multiply both sides by 5\r\n" );
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document.write( "    720 = 8u + 8*(u+10)\r\n" );
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document.write( "     90 = u + (u + 10)\r\n" );
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document.write( "     90 - 10 = 2u\r\n" );
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document.write( "     80      = 2u\r\n" );
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document.write( "     u       = 80/2 = 40.\r\n" );
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document.write( "ANSWER.  The slower car rate is  40 mph;  the faster car rate is 40+10 = 50 mph.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See introductory lessons on Travel and Distance problems\r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "They are written specially for you.\r
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\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r
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\n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r
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\n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r
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\n" ); document.write( "\n" ); document.write( "Notice that there is some defect in your condition.\r
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