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Rufina [12.5K]
4 years ago
13

Two trains on opposite tracks leave the same station at the same time. one train travels at an average speed of 80 km/hr and the

other travels at an average speed of 70 km/hr. how long after they leave the station will they be 50 km apart?
Physics
1 answer:
lyudmila [28]4 years ago
6 0

We can write the law of motion for both trains, calling them train A and train B. Since they both move by uniform motion, so with constant velocity, we can write their position at time t as:

x_A(t) = v_A t = (80 km/h) t

x_B(t)= v_B t = (-70 km/h) t

where v_A and v_B are the average speeds of the two trains. For the train B, we put a negative sign, since it is going in the opposite direction.

We want to know the time t after which the distance between the two trains is 50 km. In equations, this means finding the time t after which

x_A (t) = 50 km + x_B(t)

And solving, we find:

(80 km/h) t = 50 km + (-70 km/h) t

t= \frac{50 km}{80 km/h+70 km/h} =0.33 h

Which means after 20 minutes.

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