document.write( "Question 168635: A train travels 600 miles in the same time that a truck travels 520 miles. The train's average speed is 8 miles per hour faster than the truck's average speed. What is the speed of the train? \n" ); document.write( "
Algebra.Com's Answer #124290 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A train travels 600 miles in the same time that a truck travels 520 miles. \n" ); document.write( " \n" ); document.write( "The train's average speed is 8 miles per hour faster than the truck's average speed. \n" ); document.write( " \n" ); document.write( "What is the speed of the train? \n" ); document.write( "-------------------------- \n" ); document.write( "Train DATA: \n" ); document.write( "distance = 600 miles ; rate = x+8 mph ; time = d/r = 600/(x+8) hrs. \n" ); document.write( "-------------------------- \n" ); document.write( "Truck DATA: \n" ); document.write( "distance = 520 miles ; rate = x mph ; time = d/r = 520/x hrs. \n" ); document.write( "-------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "time = time \n" ); document.write( "600/(x+8) = 520/x \n" ); document.write( "600x = 520(x+8) \n" ); document.write( "15x = 13(x+8) \n" ); document.write( "15x = 13x + 104 \n" ); document.write( "2x = 104 \n" ); document.write( "x = 52 mph (speed of the truck) \n" ); document.write( "x+8 = 60 mph (speed of the train) \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |