document.write( "Question 890265: A car travels 30 kph faster than a truck. The car covers 540 km in three hours less than the time it takes the truck to travel the same distance. What is the speed of the car? What about the truck? \n" ); document.write( "
Algebra.Com's Answer #538852 by lwsshak3(11628)\"\" \"About 
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A car travels 30 kph faster than a truck. The car covers 540 km in three hours less than the time it takes the truck to travel the same distance. What is the speed of the car? What about the truck?
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\n" ); document.write( "let x=speed of truck
\n" ); document.write( "x+30=speed of car
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "\"540%2Fx-540%2F%28x%2B30%29=3\"
\n" ); document.write( "lcd:x(x+30)
\n" ); document.write( "540x-540(x+30)=3x(x+30)
\n" ); document.write( "540x-540x-16200=3x^2+90x
\n" ); document.write( "3x^2+90x-16200=0
\n" ); document.write( "x^2+30x+5400=0
\n" ); document.write( "(x+90)(x-60)=0
\n" ); document.write( "x=-90 (reject)
\n" ); document.write( "or
\n" ); document.write( "x=60
\n" ); document.write( "x+30=90
\n" ); document.write( "speed of truck=60 km/hr
\n" ); document.write( "speed of car=90 km/hr\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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