document.write( "Question 246664: A train travels 600 kilometers in the same time that a truck travels 520 kilometers. Find the speed of the train if the train's average speed is 8 kilometers per hour faster than the truck's. \n" ); document.write( "
Algebra.Com's Answer #180046 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x= rate of the truck \n" ); document.write( "x+8= rate of the train \n" ); document.write( "520 = distance of truck \n" ); document.write( "600= distance of train\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Time of Truck = Time of Train \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since \n" ); document.write( " \n" ); document.write( "520x+520*8=600x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 520x from each side: \n" ); document.write( "520*8=80x \n" ); document.write( "52=x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, x= 52 km/hr = speed of truck \n" ); document.write( "x+8= 60 km/hr = speed of train\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It checks!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a) If x=6, then A=x^2 + 6x +8 \n" ); document.write( "A=6^2 +6*6+8 \n" ); document.write( "A=36+36+8 \n" ); document.write( "A= 80 square units\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b) If A=x^2 +6x+8 \n" ); document.write( "A=(x+2)(x+4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A= W*L \n" ); document.write( "If x+2 = width, then L=x+4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida \n" ); document.write( "Altamonte Springs Campus\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |