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Saturday, July 26, 2008

Traveling Bird

Consider a road with two cars, at a distance of 100 kilometers, driving towards each other. The left car drives at a speed of forty kilometers per hour and the right car at a speed of sixty kilometers per hour. A bird starts at the same location as the right car and flies at a speed of 80 kilometers per hour. When it reaches the left car it turns its direction, and when it reaches the right car it turns its direction again to the opposite, etcetera.

The Question: What is the total distance that the bird has traveled at the moment that the two cars have reached each other?


Answer: If you have written down a full paper of mathematical formulas, you haven't been thinking in the right direction.
It is obvious that the two cars meet each other after one hour. On that moment, the bird has flown for one hour.

Conclusion: The bird has flown 80 km/h × 1 h = 80 km.


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