Trains A & B are traveling in the same direction on a parallel tracks. Train A is traveling at 60 mph and train B is traveling at 80 mph. Train A passes a station at 5:15 PM. If train B passes the same station at 5:30 PM, at what time will train B catch up to train A?
When will train B catch up with train A?
At 5.30 pm, train A is 15m away from the station, while train B is 0m away from the station. The distance of these two trains from the station in respect to the time (in hour) can be respresented as functions:
(for train A)
(for train B)
The moment when train B catches up with train A is when both of the trains are at the same distance away from the station. That is, . You'll end up with an equation:
Find the value of (which is time in hours) at that moment, and add it to the time (5.30 pm).