Brainliest!! A passenger train and a freight train leave at the same time from stations that are 270 km apart. The trains are travelling toward each other, and the rate of the passenger train is twice the rate of the freight train. If the trains pass each other in three hours, what is the rate of each train?

Question

Mathematics

Justice Solis

18 December, 03:34

Brainliest!! A passenger train and a freight train leave at the same time from stations that are 270 km apart. The trains are travelling toward each other, and the rate of the passenger train is twice the rate of the freight train. If the trains pass each other in three hours, what is the rate of each train?

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Answers (1)

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Sarah Price · Answer 1

Passenger train 60 km/h.

Freight train 30 km/h.

Step-by-step explanation:

Let the rate of the freight train be x km / hr the passenger train's rate is 2x km/hr.

The combined speed = 3x km/hr, so we have the equation

speed = distance. / time

3x = 270 / 3

9x = 270

x = 30 km/h.