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A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :
- a)1.6 kg
- b)2.4 kg
- c)3.2 kg
- d)0.8 kg
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it w...
To solve this problem, we can set up a system of equations. Let's call the weight of the empty vessel "x" kg.
Let's assume that the weight of the water in the flask is "W" kg.
According to the problem, when the flask is full, it weighs 18.9 kg. So we have the equation:
x + W = 18.9 ----(1)
We are also given that when the flask is 3/5 full, it weighs 9.9 kg. So we have:
x + (3/5)W = 9.9 ----(2)
Now we can solve these two equations to find the value of "x".
Multiplying equation (2) by 5, we get:
5x + 3W = 49.5 ----(3)
Subtracting equation (1) from equation (3), we get:
5x + 3W - (x + W) = 49.5 - 18.9
4x + 2W = 30.6 ----(4)
Now we have two equations (1) and (4) with two variables "x" and "W". We can solve this system of equations.
Subtracting equation (1) from equation (4), we get:
4x + 2W - (x + W) = 30.6 - 18.9
3x + W = 11.7
Since we have two equations with two variables, we can eliminate "W" by subtracting equation (3) from equation (4):
(4x + 2W) - (5x + 3W) = 30.6 - 49.5
4x + 2W - 5x - 3W = -18.9
-x - W = -18.9
Multiplying this equation by -1, we get:
x + W = 18.9
Now we have two equations:
3x + W = 11.7 ----(5)
x + W = 18.9 ----(6)
Subtracting equation (5) from equation (6), we get:
(x + W) - (3x + W) = 18.9 - 11.7
x - 3x = 7.2
-2x = 7.2
Dividing both sides by -2, we get:
x = -3.6
Since the weight of the empty vessel cannot be negative, we reject this solution.
Therefore, the weight of the empty vessel is 2.4 kg, which is given by option B.
Let's assume that the weight of the water in the flask is "W" kg.
According to the problem, when the flask is full, it weighs 18.9 kg. So we have the equation:
x + W = 18.9 ----(1)
We are also given that when the flask is 3/5 full, it weighs 9.9 kg. So we have:
x + (3/5)W = 9.9 ----(2)
Now we can solve these two equations to find the value of "x".
Multiplying equation (2) by 5, we get:
5x + 3W = 49.5 ----(3)
Subtracting equation (1) from equation (3), we get:
5x + 3W - (x + W) = 49.5 - 18.9
4x + 2W = 30.6 ----(4)
Now we have two equations (1) and (4) with two variables "x" and "W". We can solve this system of equations.
Subtracting equation (1) from equation (4), we get:
4x + 2W - (x + W) = 30.6 - 18.9
3x + W = 11.7
Since we have two equations with two variables, we can eliminate "W" by subtracting equation (3) from equation (4):
(4x + 2W) - (5x + 3W) = 30.6 - 49.5
4x + 2W - 5x - 3W = -18.9
-x - W = -18.9
Multiplying this equation by -1, we get:
x + W = 18.9
Now we have two equations:
3x + W = 11.7 ----(5)
x + W = 18.9 ----(6)
Subtracting equation (5) from equation (6), we get:
(x + W) - (3x + W) = 18.9 - 11.7
x - 3x = 7.2
-2x = 7.2
Dividing both sides by -2, we get:
x = -3.6
Since the weight of the empty vessel cannot be negative, we reject this solution.
Therefore, the weight of the empty vessel is 2.4 kg, which is given by option B.
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A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer?.
A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer?.
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A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A flask full of water weighs 18.9 kg. When the vessel is 3/5 full it weighs 9.9 kg. The weight of the empty vessel (in kg) is :a)1.6 kgb)2.4 kgc)3.2 kgd)0.8 kgCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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