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How can the swan successfully escape?

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A swan sits at the center of a perfectly circular lake. At an edge of the lake stands a ravenous monster waiting to devour the swan. The monster can not enter the water, but it will run around the circumference of the lake to try to catch the swan as soon as it reaches the shore. The monster moves at 4 times the speed of the swan, and it will always move in the direction along the shore that brings it closer to the swan the quickest. Both the swan and the the monster can change directions in an instant.
The swan knows that if it can reach the lake’s shore without the monster right on top of it, it can instantly escape into the surrounding forest.

How can the swan successfully escape?

posted Dec 31, 2021 by Prithvi

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+1 vote

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 to eat 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?

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Bruno rabbit was starving! He came to a farmer's lettuce garden but it was surrounded by a picket fence.
Bruno knew he must eat soon or he would die.
He could barely fit through the fence in his present condition and he knew that if he entered and the lettuce, he would be unable to fit back through the fence.
If the farmer happened to come by he could not escape.
The lettuce was too large too fit through the fence.
How could he eat the lettuce and still manage to escape if the need arose?

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