SOLUTION: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100mph and train B is traveling at 120mph. Train A passes a station at 2:20pm and trai
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Question 614106: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100mph and train B is traveling at 120mph. Train A passes a station at 2:20pm and train Bpasses the same train station at 2:32pm. At waht time will train B catch train A Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Train A and B are traveling in the same direction on parallel tracks.
Train A is traveling at 100mph and train B is traveling at 120mph.
Train A passes a station at 2:20pm and train B passes the same train station at 2:32pm.
At what time will train B catch train A
:
From the given information, we know that Train B is 12 min behind A at at 2:20 pm
therefore Train B is: * 120 = 24 miles behind Train A at that time.
:
Let t = time required for Train B to catch Train A
:
Write a distance equation; dist = speed * time
:
Train B dist = Train A dist + 24 mi
120t = 100t + 24
120t - 100t = 24
20t = 24
t =
t = 1.2 hrs for B to catch A
:
Convert 1.2 hrs to hrs and minutes: 1 + .2(60) = 1 hr 12 min
:
Find the time from 2:20 pm:
2:20 + 1:12 = 3:32 pm, Train B catches Train A
