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2/5 of pole is under water,half of it is inside the mud and the remaining 3m pole is above the water. find the total length of pole.
Most Upvoted Answer
2/5 of pole is under water,half of it is inside the mud and the remain...
Total Length of the Pole
To determine the total length of the pole, we need to analyze the portions of the pole that are submerged and above the water.
Given Information:
- 2/5 of the pole is underwater.
- Half of the pole is inside the mud.
- The remaining length of the pole above the water is 3 meters.
Understanding the Components:
- Let the total length of the pole be represented as "L" meters.
- The portion underwater is (2/5)L.
- The portion inside the mud is 1/2 of L, which can also be expressed as (5/10)L.
- The portion above water is given as 3 meters.
Establishing the Equation:
Now we can express the entire pole in terms of L:
1. The underwater portion: (2/5)L
2. The mud portion: (1/2)L or (5/10)L
3. The above-water portion: 3 m
These segments should add up to the total length of the pole:
(2/5)L + (1/2)L + 3 = L
Finding a Common Denominator:
To solve this equation, we need a common denominator. The least common multiple of 5 and 2 is 10.
- Convert each fraction:
- (2/5)L = (4/10)L
- (1/2)L = (5/10)L
Now the equation becomes:
(4/10)L + (5/10)L + 3 = L
Simplifying the Equation:
Combine the fractions:
(9/10)L + 3 = L
Now, isolate L:
3 = L - (9/10)L
3 = (1/10)L
Calculating L:
Multiply both sides by 10:
L = 30 meters
Conclusion:
The total length of the pole is 30 meters.
To determine the total length of the pole, we need to analyze the portions of the pole that are submerged and above the water.
Given Information:
- 2/5 of the pole is underwater.
- Half of the pole is inside the mud.
- The remaining length of the pole above the water is 3 meters.
Understanding the Components:
- Let the total length of the pole be represented as "L" meters.
- The portion underwater is (2/5)L.
- The portion inside the mud is 1/2 of L, which can also be expressed as (5/10)L.
- The portion above water is given as 3 meters.
Establishing the Equation:
Now we can express the entire pole in terms of L:
1. The underwater portion: (2/5)L
2. The mud portion: (1/2)L or (5/10)L
3. The above-water portion: 3 m
These segments should add up to the total length of the pole:
(2/5)L + (1/2)L + 3 = L
Finding a Common Denominator:
To solve this equation, we need a common denominator. The least common multiple of 5 and 2 is 10.
- Convert each fraction:
- (2/5)L = (4/10)L
- (1/2)L = (5/10)L
Now the equation becomes:
(4/10)L + (5/10)L + 3 = L
Simplifying the Equation:
Combine the fractions:
(9/10)L + 3 = L
Now, isolate L:
3 = L - (9/10)L
3 = (1/10)L
Calculating L:
Multiply both sides by 10:
L = 30 meters
Conclusion:
The total length of the pole is 30 meters.
Community Answer
2/5 of pole is under water,half of it is inside the mud and the remain...
30m
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2/5 of pole is under water,half of it is inside the mud and the remaining 3m pole is above the water. find the total length of pole.
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2/5 of pole is under water,half of it is inside the mud and the remaining 3m pole is above the water. find the total length of pole. for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 2/5 of pole is under water,half of it is inside the mud and the remaining 3m pole is above the water. find the total length of pole. covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2/5 of pole is under water,half of it is inside the mud and the remaining 3m pole is above the water. find the total length of pole..
2/5 of pole is under water,half of it is inside the mud and the remaining 3m pole is above the water. find the total length of pole. for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 2/5 of pole is under water,half of it is inside the mud and the remaining 3m pole is above the water. find the total length of pole. covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2/5 of pole is under water,half of it is inside the mud and the remaining 3m pole is above the water. find the total length of pole..
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