The height of a certain flagpole is 33 feet. Grease is applied to the pole. A monkey attempts to climb the pole. It climbs 5 feet every second but slips down 4 ft in the next second. When will the monkey reach the top of the flagpole?
Answers
Answered by
3
Given :
- Height of flag pole = 33 feet
- Height climbed per second = 5 feet
- Height slipped in next second = 4 feet
To find :
- Time required by monkey to reach the top of the pole
Solution :
- The monkey climbs 5 feet every second but slips 4 feet the next second.
- In this way, in every 2 seconds the monkey climbs 1 feet.
- But, when the monkey reaches 28 feet, he will climb 5 feet and reach the top of the pole.
- Hence the total time required will be,
T = (28×2) + 1
∴ T = 57 seconds
Answer :
The monkey will take 57 seconds to reach the top of the flagpole.
Answered by
3
The monkey reach the top of the flagpole in 57 seconds
Explanation:
From question, the monkey climbs 5 feet every second but slips down 4 ft in the next second.
⇒ 5 feet - 4 feet = 1 feet
Thus, every two seconds the monkey climbs 1 feet.
When the monkey reaches 28 feet, then the next second the it reaches top of the pole.
⇒ T = (28 × 2) + 1 = 56 + 1
∴ T = 57 seconds
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