SOLUTION: a freight train leaves a station and travels north at 60 mph. two hours later, a passenger train leaves on a parallel track and travels north at 100 mph. how long will it take the

Question 723216: a freight train leaves a station and travels north at 60 mph. two hours later, a passenger train leaves on a parallel track and travels north at 100 mph. how long will it take the passenger train to overtake the frieght train? how far from the station will they meet
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In 2 hrs, the freight train gets a head start of
mi
Let = the distance the passenger train has to
travel to catch the freight train
-----------------
Start a stopwatch when the passenger train leaves
Let = the time on the stopwatch when they meet
------------------
Equation for freight train:

Equation for passenger train:

------------
By substitution:

hrs
and

mi
They will meet 300 mi from the station
check:

OK

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