Algebra.Com's Answer #837672 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Two cars left a station in Bawku and were travelling to Tamale a distance of 135km away.
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document.write( "The second car left 30 minutes after the first car had left.
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document.write( "If the speed of the second car is 3/2 times as fast as the first car,
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document.write( "and the second car got to Tamale 45 minutes before the first car arrived,
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document.write( "calculated the speed of each car.
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document.write( "Let v be the speed of the first car, in kilometers per hour.\r\n" );
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document.write( "Then the speed of the second car is  , according to the problem.\r\n" );
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document.write( "The travel time of the first car is  hours.\r\n" );
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document.write( "The travel time of the second car is  hours, which is the same as  .\r\n" );
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document.write( "The difference of the travel times is 30 + 45 minutes = 75 minutes =  hours =  hours.\r\n" );
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document.write( "So we write this \"time equation\"\r\n" );
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document.write( " - = .\r\n" );
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document.write( "Simplifying left side, we get\r\n" );
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document.write( "  = .\r\n" );
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document.write( "Thus we find\r\n" );
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document.write( " v =  = 9*4 = 36.\r\n" );
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document.write( "ANSWER. The speed of the first car is 36 km/h.\r\n" );
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document.write( " The speed of the second car is  = 3*18 = 54 km/h.\r\n" );
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document.write( "Solved.\r
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