SOLUTION: There is a railroad track that is 5 km long and the rails are one metre apart. A child ties a can to a dog's tail and it starts running down the track, the dog's initial speed is o

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Question 1132126: There is a railroad track that is 5 km long and the rails are one metre apart. A child ties a can to a dog's tail and it starts running down the track, the dog's initial speed is one metre per second. the dog speeds up by one metre per second every time it heats the can hit a rail. assuming the can hits all the rails, what is the dog's speed at the end of the 5 km?
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the dog's initial speed is 1%28m%2Fs%29
the dog speeds up by 1%28m%2Fs%29 every time it heats the can hit a rail
The US standard railroad gauge (distance between the rails) is 4+ feet=1.2192m
assuming the can hits all the rails, the number of the rails is:
5000m%2F1.2192m=4101.049868766404=4101
assuming the can hits all the rails, it will be 4101 times
so, dog will increase speed 4101 times by 1%28m%2Fs%29

the dog's speed at the end of the 5km is initial speed plus increase:
s=1%28m%2Fs%29%2B4101%28m%2Fs%29
s=4102%28m%2Fs%29



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Makes no sense.
No way to know how often the can hits a rail when the dog is running.