A freight train travels 100km every hour it passes over a river at 10:00am four hours later a passenger train passes over the same river the passenger travels 150km every hour when does the passenger train overtake the freight train? How far are they from the river?
The same
To find out when the passenger train overtakes the freight train and how far they are from the river, we can set up a system of equations.
Let's assume that the passenger train overtakes the freight train after t hours.
Distance traveled by the freight train = Speed of the freight train * Time taken by both trains to meet
Distance traveled by the passenger train = Speed of the passenger train * Time taken by the passenger train to meet
Distance traveled by the freight train = Distance traveled by the passenger train (since they meet at some point)
100 * (t + 4) = 150 * t
Now, let's solve this equation to find the value of t.
100t + 400 = 150t
400 = 50t
t = 8
So, the passenger train overtakes the freight train after 8 hours.
To find how far they are from the river, we can substitute the value of t in either of the equations:
Distance traveled by the freight train = Speed of the freight train * Time taken by both trains to meet
Distance traveled by the freight train = 100 * (8 + 4) = 100 * 12 = 1200 km
Therefore, the passenger train overtakes the freight train after 8 hours and they are 1200 km away from the river.