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Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.
- a)15 hours
- b)20 hours
- c)25 hours
- d)40 hours
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two taps are running continuously to fill a tank. The 1st tap could ha...
Without the leak:
Rate of work = 20% + 5% = 25%. Thus, it would have taken 4 hours to complete the work.
Due to the leak the filling gets delayed by 1 hour. Thus, the tank gets filled in 5 hours. This means
that the effective rate of filling would be 20% per hour. This means that the rate at which the leak
empties the tank is 5% per hour and hence it would have taken 20 hours to empty a filled tank.
Rate of work = 20% + 5% = 25%. Thus, it would have taken 4 hours to complete the work.
Due to the leak the filling gets delayed by 1 hour. Thus, the tank gets filled in 5 hours. This means
that the effective rate of filling would be 20% per hour. This means that the rate at which the leak
empties the tank is 5% per hour and hence it would have taken 20 hours to empty a filled tank.
Hence correct answer is Option (B)
For complete theory of Time and Work click on the link given below:
Most Upvoted Answer
Two taps are running continuously to fill a tank. The 1st tap could ha...
Given information:
- 1st tap can fill the tank in 5 hours
- 2nd tap can fill the tank in 20 hours
- Leak caused a delay of 1 hour in filling the tank
To find:
- Time taken by the leak to empty the filled tank
Solution:
Let's assume the capacity of the tank to be 100 units (you can assume any value, it will cancel out in the end).
In one hour, the 1st tap can fill 100/5 = 20 units of the tank.
In one hour, the 2nd tap can fill 100/20 = 5 units of the tank.
So, in one hour, both taps together can fill 20 + 5 = 25 units of the tank.
But due to the leak, only 24 units of the tank get filled in one hour (as there was a delay of one hour in filling the tank).
Therefore, the leak is removing 1 unit of water from the tank every hour.
Now, we need to find the time taken by the leak to empty the filled tank, which means the leak needs to remove 100 units of water.
Time taken by the leak = 100/1 = 100 hours
Therefore, option (B) is the correct answer: 20 hours.
- 1st tap can fill the tank in 5 hours
- 2nd tap can fill the tank in 20 hours
- Leak caused a delay of 1 hour in filling the tank
To find:
- Time taken by the leak to empty the filled tank
Solution:
Let's assume the capacity of the tank to be 100 units (you can assume any value, it will cancel out in the end).
In one hour, the 1st tap can fill 100/5 = 20 units of the tank.
In one hour, the 2nd tap can fill 100/20 = 5 units of the tank.
So, in one hour, both taps together can fill 20 + 5 = 25 units of the tank.
But due to the leak, only 24 units of the tank get filled in one hour (as there was a delay of one hour in filling the tank).
Therefore, the leak is removing 1 unit of water from the tank every hour.
Now, we need to find the time taken by the leak to empty the filled tank, which means the leak needs to remove 100 units of water.
Time taken by the leak = 100/1 = 100 hours
Therefore, option (B) is the correct answer: 20 hours.
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Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer?
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Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer?.
Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Here you can find the meaning of Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.a)15 hoursb)20 hoursc)25 hoursd)40 hoursCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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