document.write( "Question 514496: Car 1 travels from point A to point B.. Car 2 leaves 2 hours later, but goes 10 miles an hour faster and passes car 1 in 11 hours.. How fast does each car go?? \n" ); document.write( "
Algebra.Com's Answer #343455 by Edwin McCravy(20060)\"\" \"About 
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Car 1 travels from point A to point B.. Car 2 leaves 2 hours later, but goes 10 miles an hour faster and passes car 1 in 11 hours.. How fast does each car go??
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document.write( "Make this chart\r\n" );
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document.write( "        Distance      Rate     Time \r\n" );
document.write( "Car 1   \r\n" );
document.write( "Car 2   \r\n" );
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document.write( "Let x = the rate of Car 1\r\n" );
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\n" ); document.write( "Car 2...goes 10 miles an hour faster
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document.write( "So the rate of Car 2 = x+10\r\n" );
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document.write( "Fill those rates in:\r\n" );
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document.write( "        Distance      Rate     Time \r\n" );
document.write( "Car 1                   x       \r\n" );
document.write( "Car 2                 x+10      \r\n" );
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\n" ); document.write( "Car 2...passes car 1 in 11 hours
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document.write( "So fill in 11 for Car 2's time:\r\n" );
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document.write( "        Distance      Rate     Time \r\n" );
document.write( "Car 1                   x       \r\n" );
document.write( "Car 2                 x+10      11\r\n" );
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\n" ); document.write( "Car 2 leaves 2 hours later
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document.write( "This means Car 1 traveled 2 hours longer than Car 2,\r\n" );
document.write( "so Car 1's time is 11+2 = 13.  Fill that in for \r\n" );
document.write( "Car 1's time.\r\n" );
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document.write( "        Distance      Rate     Time \r\n" );
document.write( "Car 1                   x       13\r\n" );
document.write( "Car 2                 x+10      11\r\n" );
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document.write( "Now we use the formula \"Distance=Rate%2ATime\" to fill\r\n" );
document.write( "in the distances:\r\n" );
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document.write( "        Distance      Rate     Time \r\n" );
document.write( "Car 1      13x          x       13\r\n" );
document.write( "Car 2   11(x+10)      x+10      11\r\n" );
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document.write( "Now the distances traveled by each car are the same,\r\n" );
document.write( "so we set the two distances equal:\r\n" );
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document.write( "           13x = 11(x+10)\r\n" );
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document.write( "Solve that equation for x and get x = 55 mph for Car 1.  \r\n" );
document.write( "Car 2 went 10 mph faster, so it went 65 mph.\r\n" );
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document.write( "Edwin
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