document.write( "Question 578444: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour. Train A passes a station at 3:10 pm. If train B passes the same station at 3:40 pm, at what time will train B catch up to train A? \n" ); document.write( "
Algebra.Com's Answer #370649 by ankor@dixie-net.com(22740)\"\" \"About 
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Trains A and B are traveling in the same direction on parallel tracks.
\n" ); document.write( " Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour.
\n" ); document.write( " Train A passes a station at 3:10 pm.
\n" ); document.write( " If train B passes the same station at 3:40 pm, at what time will train B catch up to train A?
\n" ); document.write( ":
\n" ); document.write( "From the given information, we know that Train B is .5 hrs behind A at at 3:10 pm
\n" ); document.write( "therefore Train B is:
\n" ); document.write( ".5 * 84 = 42 miles behind Train A at that time.
\n" ); document.write( ":
\n" ); document.write( "Let t = time required for Train B to catch Train A
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( ":
\n" ); document.write( "Train B dist = Train A dist + 42 mi
\n" ); document.write( "84t = 80t + 42
\n" ); document.write( "84t - 80t = 42
\n" ); document.write( "4t = 42
\n" ); document.write( "t = \"42%2F4\"
\n" ); document.write( "t = 10.5 hrs for B to catch A
\n" ); document.write( ":
\n" ); document.write( "Convert 10.5 hrs to 10 hrs 30 min
\n" ); document.write( ":
\n" ); document.write( "Find the time from 3:10 pm: + 10:30 = 13:40 which is:
\n" ); document.write( "1:40 AM
\n" ); document.write( " \n" ); document.write( "
\n" );