document.write( "Question 1207807: A Dodge Neon and a Mack truck leave an intersection at the same time.The Neon heads east at an average speed of 30 miles per hour, while the truck heads south at an average speed of 40 miles per hour. Find an expression for their distance apart d (in miles) at the end of t hours. \n" ); document.write( "
Algebra.Com's Answer #845915 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A Dodge Neon and a Mack truck leave an intersection at the same time.The Neon heads east at an average speed of 30 miles per hour, while the truck heads south at an average speed of 40 miles per hour. Find an expression for their distance apart d (in miles) at the end of t hours.\r \n" ); document.write( "\n" ); document.write( "Let x(t): the distance the Neon has traveled east after t hours , speed = 30 mph \n" ); document.write( "and y(t): the distance the truck has traveled south after t hours, speed 40 mph\r \n" ); document.write( "\n" ); document.write( "x(t) =30t \n" ); document.write( "y(t)=40t\r \n" ); document.write( "\n" ); document.write( "d(t) = sqrt((30t)^2+(40t)^2) ( Pythagoras theorem)\r \n" ); document.write( "\n" ); document.write( "d(t) = sqrt(900t^2+1600t^2)\r \n" ); document.write( "\n" ); document.write( "d(t) = sqrt(2500t)\r \n" ); document.write( "\n" ); document.write( "d(t) = 50t is the required expression\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |