Two trains, each having a speed of 30 km/h, are headed at each other on the same straight track. A bird that can fly 60 km/h flies off the front of one train when they are 60 km apart and heads directly for the other train. On reaching the other train, the bird flies directly back to the first train, and so forth. (We have no idea why a bird would behave in this way.) What is the total distance the bird travels before the trains collide?

Question

Mathematics

Dominique Rojas

29 March, 06:14

Two trains, each having a speed of 30 km/h, are headed at each other on the same straight track. A bird that can fly 60 km/h flies off the front of one train when they are 60 km apart and heads directly for the other train. On reaching the other train, the bird flies directly back to the first train, and so forth. (We have no idea why a bird would behave in this way.) What is the total distance the bird travels before the trains collide?

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Answers (1)

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Theodore Weeks · Answer 1

60 km

Step-by-step explanation:

The closure speed of the trains is 30+30 = 60 km/h. Since their initial distance apart is 60 km, it will take 1 hour for them to collide.

The bird flies for 1 hour at 60 km/hour, so flies a total distance of 60 km before being crushed in the collision.