The Bird and Train Problem, The Folded paper problem
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1) The Bird and Train Problem: Two trains are 50 miles apart. At 1 p.m. on Sunday a train pulls out from each of the stations and the trains start toward each other. At that moment, a hawk flies into the air in front of the first train and flies ahead to the front of the second train. When the hawk reaches the second train it turns around and flies toward the first train. The hawk continues in this way until the trains meet. Assume that both trains are traveling at 25 miles per hour and the hawk flies at a constant speed of 100 miles per hour. How many miles will the hawk have flown when the trains meet?
2) The Folded paper problem: Picture a large piece of paper, 1/100 of an inch thick. In your imagination, fold it once (now having two layers), fold it once more (now having four layers), and continue folding it over on itself 50 times. It is true that it is impossible to fold any actual piece of paper 50 times, but for the sake of the problem imagine that it can be done. About how thick would the 50 times folded piece of paper be?
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The Bird and Train Problem and The Folded paper problem have been answered.
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1) The Bird and Train Problem: Two trains are 50 miles apart. At 1 p.m. on Sunday a train pulls out from each of the stations and the trains start toward each other. At that moment, a hawk flies into the air in front of the first train and flies ahead to the front of the second train. When the hawk reaches the second train it turns around and flies toward the first train. The hawk continues in this way until the trains meet. Assume that ...
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