document.write( "Question 1044434: A train travels the distance between the station A and B in 45 minutes. if the train reduces its speed by 5km per hour it takes 48 minutes to cover this distance. what is the distance between the two stations?
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Algebra.Com's Answer #659741 by ikleyn(52776)\"\" \"About 
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\n" ); document.write( "A train travels the distance between the station A and B in 45 minutes.
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document.write( "45 minutes = \"3%2F4\" of an hour.\r\n" );
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document.write( "48 minutes = \"4%2F5\" of an hour.\r\n" );
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document.write( "Let \"u\" be the speed of the train in the first scenario. in \"km%2Fh\".\r\n" );
document.write( "Then the speed in the second scenario is (u-5) \"km%2Fh\".\r\n" );
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document.write( "Then you have this equation\r\n" );
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document.write( "\"%284%2F5%29%2A%28u-5%29\" = \"%283%2F4%29%2Au\",\r\n" );
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document.write( "which says that the distance is the same.\r\n" );
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document.write( "Simplify it:\r\n" );
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document.write( "\"%284%2F5%29%2Au+-+4\" = \"%283%2F4%29%2Au\",\r\n" );
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document.write( "\"%284%2F5+-+3%2F4%29%2Au\" = 4,\r\n" );
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document.write( "\"%2816%2F20+-+15%2F20%29%2Au\" = 4,\r\n" );
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document.write( "\"%281%2F20%29%2Au\" = 4,\r\n" );
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document.write( "u = 80.\r\n" );
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document.write( "Thus the train speed is 80 km/h. \r\n" );
document.write( "Hence, the distance is \"%283%2F4%29%2A80\" = 60 km.\r\n" );
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document.write( "Answer. The distance is 60 km.\r\n" );
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