document.write( "Question 1167538: A car travels 20kph faster than a truck. The car covers 480km in two hours less than the time it takes the truck to travel the same distance. How fast does the car travel? \n" ); document.write( "

Algebra.Com's Answer #792133 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A car travels 20kph faster than a truck. The car covers 480km in two hours less than
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document.write( "Let x be the rate of the car, in miles per hour.\r\n" );
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document.write( "Then the rate of the truck is (x-20) mph.\r\n" );
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document.write( "The time for the car   to travel 480 km is    hpurs.\r\n" );
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document.write( "The time for the truck to travel 480 km is    hours.\r\n" );
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document.write( "The \"time\" equation is\r\n" );
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document.write( "    -  = 2  hours.\r\n" );
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document.write( "You can solve this equation mentally by easy guess the answer  x= 80.\r\n" );
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document.write( "Indeed,   -  =  -  = 8 - 6 = 2 hours.\r\n" );
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document.write( "Alternatively, you can solve equation (1) algebraically.\r\n" );
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document.write( "If you do it this way your first step is to multiply both sides by x*(x-20).\r\n" );
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document.write( "ANSWER.  The car's rate is 80 km/h.\r\n" );
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