Thread: Problem 44
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Old January 21st, 2008, 08:43 PM
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Default Problem 44
1)Let n\geq 2 prove that 1+\frac{1}{2}+...+\frac{1}{n} is not an integer.

Here is a problem for the younger kids, give them a chance, please.

2)Let two trains be located 100 miles from eachother. The trains travel to eachother at 30 miles per hour. At this moment a bird flys of one train and travels to the other at the speed of 60 miles per hour, the moment it reaches the train it turns around and goes back. It does it back and forth until the trains crash and annihilate the bird. Find the total distance the bird traveled.
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