Question: You have two books. One of them is upside-down and the other is rotated so the top of the book is facing you.
What is the sum of the first page in each book?
Answer: 2. The first page in each book is page number 1 regardless of how they are oriented and 1 + 1 = 2.
Question: What temperature is twice as hot as 0 degrees Celsius?
Answer: 273.15 degrees Celsius. When making conversions like this you must convert to the Kelvin scale since it is the only one that works on a scale beginning with 0.
Question: A swan is in the center of a circular lake but he cannot take flight from the water, only on land. On the parameter of the lake there is a hunting dog that desperately wants the swan but cannot swim. So the swan must make it to the land before taking off and must do so before the dog makes it to him. The dog is almost 4 times faster than the swan and always runs to the point around the lake closest to the swan.
How can the swan get out of the lake and take flight before the dog gets him?
Answer: The swan can travel 1/4 of the way to land then swim in a circular path around the center of the lake (the swan will be moving slightly faster around than the dog in their circles). Once the swan is as far as he can get away from the dog in his circle he can swim the remaining 3/4 of the way to shore. The dog must travel the radius of the lake time pi (radius * π) while the swan only has to travel 3/4 the radius four times slower (3/4 * radius * 4). So the swan will make it to the shore and fly before the dog reaches it.
Question: If a mountain climber climbed up a mountain one day from midnight to midnight the next day and does the same thing the following day when coming down the mountain, would there be a time at which he was at the same position on the mountain both day?
Answer: Yes. Since the mountain climber would probably have an irregular rate it would be impossible to know when but he would be at the same spot at some point. If he could walk up and down the mountain at the same time he would have to cross himself at some point, and this would be the time at which he was in the same position.
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