SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and train B is traveling at 44 mph. Train A passes a station at 5:10 PM. If tr

Question 200032: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and train B is traveling at 44 mph. Train A passes a station at 5:10 PM. If train B passes the same stations at 5:40 PM, what time will train B catch up with train A?
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks.
Train A is traveling at 40 mph and train B is traveling at 44 mph.
Train A passes a station at 5:10 PM.
If train B passes the same stations at 5:40 PM, what time will train B catch up with train A
:
When train A passes the station, train B is .5 hrs from the station
At 44 mph, we can say; .5*44 = 22 mi is B's dist from Train A at 5:10
:
Let t = time from 5:10 that train B catches train A
:
Write a distance equation; (train B has to travel 22 mi further than train A)
44t = 40t + 22
:
44t - 40t = 22
:
4t = 22
t =
t = 5.5 hrs for Train B to catch Train A
;
The time:
5:10 + 5:30 = 10:40 PM
:
:
Check solution by finding the distance traveled by each
Train B = 44 * 5.5 = 242 mi
Train A = 40 * 5.5 = 220 mi
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difference in dist: = 22 mi
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and train B is traveling at 44 mph. Train A passes a station at 5:10 PM. If train B passes the same stations at 5:40 PM, what time will train B catch up with train A?
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From 510 to 540 train A goes 22 miles (44mph times 1/2 hour).
Train B is gaining on train A at 4 mph. It will take it 5.5 hours to overtake it (22/4 = 5.5).
5:40PM + 5.5 hours = 11:10PM
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Always go for the simplest method of solution.
PS I think ankor added the 5.5 hours to the wrong time.
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