document.write( "Question 266766: A train leaves New York for Boston, 200 miles away, at 4:00 P.M. and averages 60 mph. Another train leaves Boston for New York on an adjacent set of tracks at 3:00 P.M. and averages 50 mph. At what time will the trains meet? (Round to the nearest minute.) \n" ); document.write( "
Algebra.Com's Answer #195947 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! This is an RTD problem. Here is a table based on the given information: \n" ); document.write( "trains . . . . . . . . rate . . . . . . . . . .time . . . . . . . . . .distance \n" ); document.write( "to boston . . . . . .60 . . . . . . . . . . .t . . . . . . . . . . . . . . .60t = 200 \n" ); document.write( "to NY . . . . . . . . .50 . . . . . . . . . . .t+1 . . . . . . . . . . . . .50t + 50 = 200 \n" ); document.write( "Looking at column 3, we want to know when they meet, so the sum of the distances = 200, or \n" ); document.write( "60t + 50t + 50 = 200 \n" ); document.write( "110t + 50 = 200 \n" ); document.write( "110t = 150 \n" ); document.write( "t = 1.181818 hours. \n" ); document.write( "which is ~ 1 hrs 22 min. \n" ); document.write( "or about 4:22 PM \n" ); document.write( " |