document.write( "Question 389844: a car travels 20 km/h faster than a truck. The car covers 360 km in 3 hours less time than the truck. Find the speed of the truck. (Show your solution) \n" ); document.write( "
Algebra.Com's Answer #276373 by mananth(16946)\"\" \"About 
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a car travels 20 km/h faster than a truck. The car covers 360 km in 3 hours less time than the truck. Find the speed of the truck. (Show your solution)
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\n" ); document.write( "speed of truck = x km/h
\n" ); document.write( "car speed = x+20 km/h
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\n" ); document.write( "time truck = 360/x
\n" ); document.write( "time car = 360/(x+20)
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\n" ); document.write( "time truck - time car = 3 hours
\n" ); document.write( "360/x-360/(x+20)=3
\n" ); document.write( "LCD= x(x+20)
\n" ); document.write( "(360(x+20)-360x)/(x(x+20)=3
\n" ); document.write( "360x+7200-360x=3x(x+20)
\n" ); document.write( "7200=3x^2+60x
\n" ); document.write( "3x^2+60x-7200=0
\n" ); document.write( "/3
\n" ); document.write( "x^2+20x-2400=0
\n" ); document.write( "x^2+60x-40x-2400=0
\n" ); document.write( "x(x+60)-40(x+60)=0
\n" ); document.write( "(x-40)(x+60)=0
\n" ); document.write( "x= 40 km/h the speed of truck
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\n" ); document.write( "m.ananth@hotmail.ca
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