Two trains separated by a distance of 45 km on the same track approach each other with a constant speed of 15 km/h each. A bird starts flying with a constant speed of 22 km/h from the engine of one of the trains to the engine of the other train, touches it and flies back towards the first engine, going back and forth till the two trains crash. How much distance does the bird totally fly?
Question
Two trains separated by a distance of 45 km on the same track approach each other with a constant speed of 15 km/h each. A bird starts flying with a constant speed of 22 km/h from the engine of one of the trains to the engine of the other train, touches it and flies back towards the first engine, going back and forth till the two trains crash. How much distance does the bird totally fly?
Solution
The two trains are moving towards each other at a combined speed of 15 km/h + 15 km/h = 30 km/h.
The distance between the two trains is 45 km.
So, the time it will take for the two trains to crash is the distance divided by the combined speed, which is 45 km / 30 km/h = 1.5 hours.
The bird is flying at a constant speed of 22 km/h.
So, in 1.5 hours, the bird will fly a distance of speed multiplied by time, which is 22 km/h * 1.5 hours = 33 km.
Therefore, the bird will fly a total distance of 33 km before the two trains crash.
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