document.write( "Question 1133497: A trip to Mount Pilatus ,in Lucerne,Switzerland involves riding an incline railroad up to the top of the mountain,spending time at the top,then coming down the opposite side of the mountain in an aerial tram.The distance traveled up to mountain is 7.5 kilometers and the distance traveled down the mountains is 8.7 kilometres.The speed coming down the mountain is 1.2 times the speed going up..If the Lieblich's stayed at the top of the mountain for 3 hours and the total time of their outing was 9 hours,find the speed of the inclined railroad. \n" ); document.write( "

Algebra.Com's Answer #750732 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Let \"x\" be the averaged speed on the inclined road, in km/h (the value under the question).\r\n" );
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document.write( "Then the averaged speed on the declined road is 1.2x km/h.\r\n" );
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document.write( "The time equation  is\r\n" );
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document.write( "     +  = 9 - 3 = 6.\r\n" );
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document.write( "Multiply both sides by  1.2x. You will get\r\n" );
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document.write( "    1.2*7.5 + 8.7 = 6*1.2*x,    or\r\n" );
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document.write( "    9       + 8.7 = 7.2x    \r\n" );
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document.write( "    x =  = 2.4583 kilometers per hour.     ANSWER\r\n" );
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