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A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top?
- a)18 hours
- b)16 hours
- c)12 hours
- d)22 hours
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft....
Given:
Height of tree = 20 ft
Monkey hops = 3 ft
Monkey slips back = 2 ft
To find:
Time taken by monkey to reach the top of the tree
Solution:
Let's assume that the monkey takes 'x' hours to reach the top of the tree.
Distance covered by monkey in 'x' hours:
Total distance covered = Distance climbed - Distance slipped back
= (3 ft * x) - (2 ft * (x-1))
= 3x - 2x + 2
= x + 2
As per the question, the monkey needs to climb a distance of 20 ft to reach the top of the tree.
Therefore, we can write the following equation:
x + 2 = 20/3
x + 2 = 6.66
x = 4.66
As 'x' represents time, we cannot have a decimal value for it. Hence, we need to take the next higher integer value. So, the monkey will take 5 hours to reach the top of the tree.
Answer:
Option 'A' - 18 hours (incorrect)
Option 'B' - 16 hours (incorrect)
Option 'C' - 12 hours (incorrect)
Option 'D' - 22 hours (incorrect)
Correct option is not given in the options. The correct answer is 5 hours.
Height of tree = 20 ft
Monkey hops = 3 ft
Monkey slips back = 2 ft
To find:
Time taken by monkey to reach the top of the tree
Solution:
Let's assume that the monkey takes 'x' hours to reach the top of the tree.
Distance covered by monkey in 'x' hours:
Total distance covered = Distance climbed - Distance slipped back
= (3 ft * x) - (2 ft * (x-1))
= 3x - 2x + 2
= x + 2
As per the question, the monkey needs to climb a distance of 20 ft to reach the top of the tree.
Therefore, we can write the following equation:
x + 2 = 20/3
x + 2 = 6.66
x = 4.66
As 'x' represents time, we cannot have a decimal value for it. Hence, we need to take the next higher integer value. So, the monkey will take 5 hours to reach the top of the tree.
Answer:
Option 'A' - 18 hours (incorrect)
Option 'B' - 16 hours (incorrect)
Option 'C' - 12 hours (incorrect)
Option 'D' - 22 hours (incorrect)
Correct option is not given in the options. The correct answer is 5 hours.
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Community Answer
A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft....
Monkey climbing= 20ft.
Each hops= 3ft.
Each slips= 2ft.
20+3=23
20-2=18
Ans. 18 hours.
Each hops= 3ft.
Each slips= 2ft.
20+3=23
20-2=18
Ans. 18 hours.
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A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top?a)18 hoursb)16 hoursc)12 hoursd)22 hoursCorrect answer is option 'A'. Can you explain this answer?
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