document.write( "Question 899123: Jake drives a tractor from one town to another, a distance of 160 kilometers. He drives 8 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way? \n" ); document.write( "

Algebra.Com's Answer #545229 by lwsshak3(11628) $\"\"$ $\"About$

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ake drives a tractor from one town to another, a distance of 160 kilometers. He drives 8 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
\n" ); document.write( "***
\n" ); document.write( "let x=speed to town
\n" ); document.write( "x+8=speed on return trip
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "..
\n" ); document.write( " $\"160%2Fx-160%2F%28x%2B8%29=1\"$
\n" ); document.write( "lcd:x(x+8)
\n" ); document.write( "160(x+8)-160x=x(x+8)
\n" ); document.write( "160x+1280-160x=x^2+8x
\n" ); document.write( "x^2+8x-1280=0
\n" ); document.write( "(x+40)(x-32)=0
\n" ); document.write( "x=-40(reject)
\n" ); document.write( "or
\n" ); document.write( "x=32
\n" ); document.write( "x+8=40
\n" ); document.write( "speed to town=32 km/hr
\n" ); document.write( "speed on return trip=40 km/hr
\n" ); document.write( " \n" ); document.write( "

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