Puzzle – A Bird and Two Trains

Puzzle

Consider two trains starting from two points X and Y respectively. Trains which starts from X travels at 15 Km/hr while the train which starts from Y travels at 20 Km/hr. Both trains start at the same time. A Bird also start from X at the same time. The speed of the Bird is 25 Km/hr. The Bird flies from X to Y until it meets the train started from Y. After that it changes its direction and fly towards the train started from X. When it meets X it start flying toward Y and so on until the train meets. What is the total distance covered by the bird ?

Hint : Think Simple !

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Puzzle – Three Ants Problem

Puzzle

Three ants are sitting in the corners of the equilateral triangle. All ants start at same time and move at same speed constantly. The speeds of three ants are equal. Each ant picks up a direction randomly at first and moves in that direction. What is the probability that none of the ants will collide with each other ?

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Puzzle – Red and Blue Marble

Puzzle

We have 50 Red , 50 Blue Marbles and 2 jars. One of the jar is chosen at random and then one marble is chosen from that jar at random. How would we maximize the chance of choosing red marble ? What is the probability of choosing red marble ?. All 100 marbles should be placed in the jar.

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