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 #138755 by HyperBrain(694)\"\" \"About 
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Step 1:
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\n" ); document.write( "Let x=rate of the passenger car
\n" ); document.write( "_ x-6=rate of the bus
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\n" ); document.write( "Note: distance=rate*time so time=distance/rate
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\n" ); document.write( "Step 2: Write the algebraic equation
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\n" ); document.write( "80/(x-6)=120/x
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\n" ); document.write( "Step 3: multiply both sides by x(x-6)
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\n" ); document.write( "80x=120(x-6)
\n" ); document.write( "80x=120x-720
\n" ); document.write( "40x-720=0
\n" ); document.write( "4x-72=0
\n" ); document.write( "x=72/4=18 :: Therefore, the passenger car travels at the rate of 18 km/hr.
\n" ); document.write( "x-6=18-6=12 :: Therefore, the bus travels 12 km in 1 hr.
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