SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 50 miles per hour. Train A passes a sta
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Question 277135: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 50 miles per hour. Train A passes a station at 3:15pm, If train B passes the same station at 3:45pm at what time will train B catch up to train A 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 miles per hour and train B is traveling at 50 miles per hour. Train A passes a station at 3:15pm, If train B passes the same station at 3:45pm at what time will train B catch up to train A
:
from the given information, we know that train B is 30 min (1/2 hr) behind
train A, when train A passes the station
:
The distance between the trains at this time: * 50 = 25 mi
:
Let t = time required for train B to catch train A
:
write a distance equation: Dist = speed * time
:
Train B travel dist = Train A travel dist + 25 mi
50t = 40t + 25
50t - 40t = 25
10t = 25
t =
t = 2.5 hr or 2 hr 30 min
:
3:15 + 1:30 = 4:45 pm, B catches A
