document.write( "Question 817856: Two trains leave stations 180 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 65 miles per hour. How long will it take for the two trains to meet? \n" ); document.write( "
Algebra.Com's Answer #492243 by mathgranny(13)![]() ![]() ![]() You can put this solution on YOUR website! Let's call them Train A and Train B. \n" ); document.write( " Let Train A be the one that travels 85 mph, Train B travels 65 mph \n" ); document.write( " They are 180 miles apart. \n" ); document.write( " We do not know how far each one travels when they meet, so \n" ); document.write( " Let d = distance Train A travels and then 180 - d will equal the distance Train B travels. \n" ); document.write( " Train A. Train B \n" ); document.write( " d = rt. d = rt \n" ); document.write( " d = 85t. 180 -d = 65t \n" ); document.write( " Solve for t. Solve for t \n" ); document.write( " t = d/85. t = (180 - d)/65 \n" ); document.write( " Set the 2 expressions for t equal to each other. \n" ); document.write( " d/85 = (180-d)/65 \n" ); document.write( " Solve for d. \n" ); document.write( " d= 102 miles \n" ); document.write( "to find t, train A. ; d = 85t \n" ); document.write( " 102 = 85t, t =. 1.2 hrs. \n" ); document.write( "For Train B , distance = 180 - 102 = 78 miles. \n" ); document.write( " So 78 = 65t \n" ); document.write( " Solving for t also gives us t = 1.2 hours \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |