Question
- A monkey ascends a greased pole 30 metres in height. He ascends 3 metres in the 1st minute and descends 1 metre in the next minute, again ascends 3 metres in the 3rd minute but descends 1 metre in the 4th minute and so on. In what time does he reach the top?
Answer: Option B
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Let the total time taken by the monkey to reach the top of the pole be t minutes.
The total distance covered by the monkey in t minutes can be expressed as:
Distance covered = (3×t) - (1×(t-1))
= 3t - t + 1
= 2t + 1
Since the monkey has to cover a total distance of 30 metres to reach the top of the pole,
2t + 1 = 30
⇒ t = 29.5
Therefore, the monkey will take 28 2/3 minutes to reach the top of the pole.
Hence, Option B is the correct answer.
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