document.write( "Question 184851: A bus averages 6 kilometers an hour less than a passenger car. The bus travels 80 kilometers in the same time that the car travels 112 kilometers. Find the rate of each. \n" ); document.write( "

Algebra.Com's Answer #854672 by ikleyn(53937) $\"\"$ $\"About$

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\n" ); document.write( "A bus averages 6 kilometers an hour less than a passenger car.
\n" ); document.write( "The bus travels 80 kilometers in the same time that the car travels 112 kilometers. Find the rate of each.
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\n" ); document.write( "\n" ); document.write( "        Calculations in the post by @HyperBrain are irrelevant to the given problem, since \r
\n" ); document.write( "\n" ); document.write( "        in his calculations, @HyperBrain uses different numbers from the given in the post.\r
\n" ); document.write( "\n" ); document.write( "        It leads him to wrong answer.\r
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\n" ); document.write( "\n" ); document.write( "        I came to bring a correct/adequate solution.\r
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document.write( "Step 1:\r\n" );
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document.write( "Let x be the rate of the passenger car\r\n" );
document.write( "    Then x-6 is the rate of the bus\r\n" );
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document.write( "Note: distance=rate*time so time=distance/rate\r\n" );
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document.write( "Step 2: Write the algebraic equation\r\n" );
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document.write( "80/(x-6) = 112/x\r\n" );
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document.write( "Step 3: multiply both sides by x(x-6)\r\n" );
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document.write( "80x = 112(x-6)\r\n" );
document.write( "80x = 112x-672\r\n" );
document.write( "32x = 672\r\n" );
document.write( "x = 672/32 = 21   Therefore, the passenger car travels at the rate of 21 km/hr.\r\n" );
document.write( "x-6 = 21-6 = 15   Therefore, the bus travels 15 km in 1 hr.\r\n" );
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document.write( "CHECK for the travel time:  = 5  hours.\r\n" );
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document.write( "                            = 5 hours, the same time.\r\n" );
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document.write( "                           Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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\n" ); document.write( "\n" ); document.write( "The fact that @HyperBrain repeats these words \"Power up, @HyperBrain!\" from post to post,
\n" ); document.write( "tells me that he uses a computer code.\r
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\n" ); document.write( "\n" ); document.write( "The fact that @HyperBrain makes numerous errors of the same type from post to post,
\n" ); document.write( "tells me that his computer code is erroneous and incorrectly reads the input data. \r
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