SOLUTION: Pacific express leaves Michigan central station at noon everyday. The Niagara Falls express leaves the same station 36 minutes later in the same direction on a parallel track. If t

Question 871401: Pacific express leaves Michigan central station at noon everyday. The Niagara Falls express leaves the same station 36 minutes later in the same direction on a parallel track. If the Niagara Falls train travels 20% faster than the Pacific express, at what time will it overtake the train?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Pacific express leaves Michigan central station at noon everyday. The Niagara Falls express leaves the same station 36 minutes later in the same direction on a parallel track. If the Niagara Falls train travels 20% faster than the Pacific express, at what time will it overtake the train?
Pacific express speed = x mph
The Niagara Falls express leaves the same station 36 minutes later =3/5 hours
in the same direction on a parallel track.
Niagara Falls train travels 20% faster than the Pacific express,
speed = 1.2x mph
In 3/5 hour Pacific travels 5x/6 miles which is the catch up distance
catch up speed = 1.2x-x = 0.2x
catch up time = catch up distance/ catch up time
1.2x/0.2x
=6 hours

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