document.write( "Question 320626: A truck and plane leave the same area at the same time and head for a town 450 miles away. The plane is three times the speed of the truck and arrives 6 hours ahead of the truck. Find the speed of the truck. \n" ); document.write( "
Algebra.Com's Answer #229618 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A truck and plane leave the same area at the same time and head for a town 450 miles away. The plane is three times the speed of the truck and arrives 6 hours ahead of the truck. Find the speed of the truck. \n" ); document.write( ".. \n" ); document.write( "let speed of truck be xmph \n" ); document.write( "speed of plane = 3x \n" ); document.write( ".. \n" ); document.write( "Distance traveled by both = 450 miles. \n" ); document.write( ".. \n" ); document.write( "Time taken by truck = 450/x \n" ); document.write( "Time taken by plane = 450/3x \n" ); document.write( ".. \n" ); document.write( "Time taken by truck - time taken by plane = 6 \n" ); document.write( "450/x - 450/3x= 6 \n" ); document.write( "LCM = 3x \n" ); document.write( "1350-450 /3x= 6 \n" ); document.write( "900 / 3x= 6 \n" ); document.write( "18x=900 \n" ); document.write( "x=900/18 \n" ); document.write( "x=50 mph --- the speed of the truck \n" ); document.write( "CHECK\r \n" ); document.write( "\n" ); document.write( "450/50- 450/150 \n" ); document.write( "9-3=6 hours \n" ); document.write( " |