document.write( "Question 1054464: The average speed of an express train is 40 km/hr faster than the average speed of a bus. To travel 1200km,the bus requires 50% more time than the train. Determine the average speed of the bus and the train. \n" ); document.write( "

Algebra.Com's Answer #669687 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "The average speed of an express train is 40 km/hr faster than the average speed of a bus.
\n" ); document.write( "To travel 1200 km,the bus requires 50% more time than the train. Determine the average speed of the bus and the train.
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document.write( "Let x = the bus speed, in .\r\n" );
document.write( "Then the train speed is (x+40) .\r\n" );
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document.write( "The time for the bus to cover 1200 km is .\r\n" );
document.write( "The time for the train is .\r\n" );
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document.write( "We are given that\r\n" );
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document.write( " = .\r\n" );
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document.write( "Cancel the factor 1200 in both sides. You will get\r\n" );
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document.write( " = .\r\n" );
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document.write( "Multiply both sides by x*(x+40). You will get\r\n" );
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document.write( "1.5x = x+40  --->  0.5x = 40  --->  x =  = 80 .\r\n" );
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document.write( "It is the bus speed. Then the trai speed is 40  more, i.e. 120 .\r\n" );
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document.write( "Answer.  The train speed is 120 km/h.  The bus speed is 80 km/h.\r\n" );
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