SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 80 miles per hour. Train A passes a sta

Algebra ->  Graphs -> SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 80 miles per hour. Train A passes a sta      Log On


   

Question 324515: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 80 miles per hour. Train A passes a station at 3:25p.m. If train B passes the same station at 3:40p.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 at 60 miles per hour and train B is traveling at 80 miles per hour.
Train A passes a station at 3:25p.m.
If train B passes the same station at 3:40p.m., at what time will train B catch up to train A?
:
from the given information, we know that train B is 15 min (1/4 hr) behind
train A, when train A passes the station
:
The distance between the trains at this time: 1%2F4 * 80 = 20 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 + 20 mi
80t = 60t + 20
80t - 60t = 20
20t = 20
t = 1 hr
:
3:25 + 1 = 4:25 pm, B catches A