Aspire Faculty ID #12000 · Topic: NIMCET 2025 · Just now
NIMCET 2025

A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8.00 am., at what time will he first touch a flag at 120 feet from the ground?

Solution

The monkey climbs 30 ft every hour and slips 20 ft after each climb.

Effective gain per hour = 30 - 20 = 10 ft.
So after 9 hours (till 5:00 pm): 9 × 10 = 90 ft.
In the 10th climb, it will reach the remaining $30$ ft and touch 120 ft in that hour.

✅ Final Answer: The monkey first touches the flag at 6:00 pm.

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