SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling 80 mph and Train B is traveling 88 mph. Train A passes a statio at 8:25p.m. Train B pass

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Question 152246: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling 80 mph and Train B is traveling 88 mph. Train A passes a statio at 8:25p.m. Train B passes the sam station at 8:55p.m.; at what time will train B catch up to train A?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling 80 mph and Train B is traveling 88 mph. Train A passes a station at 8:25p.m. Train B passes the same station at 8:55p.m.; at what time will train B catch up to train A?
:
Determine how far from train A, is train B
From the given times, we know that Train B is 30 min from the station at 8:25 PM
Therefore:
88 * .5 = 44 miles
:
Let t = time from 8:25 that train B catches train A
;
Write a distance equation: Dist = speed * time
:
Train B dist = train A distance + 44 miles
88t = 80t + 44
:
88t - 80t = 44
:
8t = 44
t = 44%2F8
t = 5.5 hrs (5 hrs 30 min)
:
From 08:25 PM, 5 hrs 30 min would be 01:55 AM