document.write( "Question 338581: How long will take a car that is traveling at 60 mph to overtake a bus traveling at 50 mph if the bus had a 2-hour head start? \n" ); document.write( "
Algebra.Com's Answer #242681 by Edwin McCravy(20059)\"\" \"About 
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How long will take a car that is traveling at 60 mph to overtake a bus traveling at 50 mph if the bus had a 2-hour head start?
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document.write( "You can do it in your head:\r\n" );
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document.write( "The bus is 100 miles down the road when the car starts, and the car approaches\r\n" );
document.write( "the bus at the rate of 10mph, their difference in speeds, so the car can make\r\n" );
document.write( "up the bus's 100 mile head start in 10 hours.\r\n" );
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document.write( "Or by algebra, the way your teacher probably wants you to do it:\r\n" );
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document.write( "Make this chart\r\n" );
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document.write( "       Distance      Rate      Time\r\n" );
document.write( "Bus    \r\n" );
document.write( "Car    \r\n" );
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document.write( "Let x be the car's time.\r\n" );
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document.write( "       Distance      Rate      Time\r\n" );
document.write( "Bus    \r\n" );
document.write( "Car                              x\r\n" );
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document.write( "The bus traveled 2 hours more than the car, so\r\n" );
document.write( "the bus's time is x+2\r\n" );
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document.write( "       Distance      Rate      Time\r\n" );
document.write( "Bus                             x+2\r\n" );
document.write( "Car                              x\r\n" );
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document.write( "Fill in the two rates:\r\n" );
document.write( "       Distance      Rate      Time\r\n" );
document.write( "Bus                   50        x+2\r\n" );
document.write( "Car                   60         x\r\n" );
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document.write( "Now Use Distance = Rate × Time\r\n" );
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document.write( "       Distance      Rate      Time\r\n" );
document.write( "Bus     50(x+2)       50        x+2\r\n" );
document.write( "Car       60x         60         x\r\n" );
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document.write( "The two distances are the same when the car catches the bus, so\r\n" );
document.write( "we set the two distances equal:\r\n" );
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document.write( "              50(x+2) = 60x\r\n" );
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document.write( "Solve that and get x = 10 hours, the same as what we get doing it in our \r\n" );
document.write( "heads.\r\n" );
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document.write( "Edwin
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