document.write( "Question 832052: Two trains leave Cleveland at the same time. One train travels east and the other travels west. The speed of the westbound train is 3 mph greater than the speed of the eastbound train. After 3.5 hours they are 640.5 miles apart. Find the rate of each train. Assume that the trains travel in a straight line in directly opposite directions. \n" ); document.write( "
Algebra.Com's Answer #501818 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! I don't blame them for trying to get out of Cleveland! \n" ); document.write( ". \n" ); document.write( "Let E be eastbound and W be westbound. \n" ); document.write( "Here's the information you're given in the question: \n" ); document.write( "3.5E + 3.5W = 640.5 \n" ); document.write( "W = E + 3 \n" ); document.write( ". \n" ); document.write( "Since you know the value of W, substitute it into the first equation. \n" ); document.write( "3.5E +3.5(E+3) = 640.5 \n" ); document.write( "Distribute \n" ); document.write( "3.5E +3.5E+ 10.5 = 640.5 \n" ); document.write( "Add the Es \n" ); document.write( "7E + 10.5 = 640.5 \n" ); document.write( "Subtract 10.5 from each side \n" ); document.write( "7E = 630 \n" ); document.write( "Divide each side by 7 \n" ); document.write( "E = 90 \n" ); document.write( ". \n" ); document.write( "If E = 90, then W = 93. \n" ); document.write( ". \n" ); document.write( "Let's put it back into the question to make certain it's correct. \n" ); document.write( "In 3.5 hours, E travels 315 miles \n" ); document.write( "In 3.5 hours, W travels 325.5 miles \n" ); document.write( "Added together, they travel 640.5 miles \n" ); document.write( "Success! \n" ); document.write( " |