Frog in 30 Meter Well

A frog is at the bottom of a 30 meter well. Each day he summons enough energy for one 3 meter leap up the well.

Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards.

How many days does it take him to escape from the well?

Answer

28 days.

Until the 27th night, the frog would have managed to scale a height of 1 meter per day or 27 meter in total.

On the 28th day, he would have climbed 3 meters during the day thereby completing his task.

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