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Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filled
- a)30
- b)50
- c)75
- d)90
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes r...
Pipe A can fill the tank in = 40 min
∴ In 1 min A can fill = 1/40
Pipe B can fill the tank in = 60 min
∴ In 1 min B can fill = 1/60
Pipe C can empty the tank in = 120 min
∴ In 1 min C can empty = 1/120
Let, they together can fill the tank in = x min
According to problem,
⇒ 4x = 120
⇒ x = 30
∴ They together can fill the tank in 30 min
∴ In 1 min A can fill = 1/40
Pipe B can fill the tank in = 60 min
∴ In 1 min B can fill = 1/60
Pipe C can empty the tank in = 120 min
∴ In 1 min C can empty = 1/120
Let, they together can fill the tank in = x min
According to problem,
⇒ 4x = 120
⇒ x = 30
∴ They together can fill the tank in 30 min
Most Upvoted Answer
Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes r...
Given:
Pipe A can fill the tank in 40 minutes
Pipe B can fill the tank in 60 minutes
Pipe C can empty the tank in 120 minutes
To find:
Time taken to fill the tank when all three pipes are opened together
Approach:
Let's assume the capacity of the tank to be 120 units of water (LCM of 40, 60, and 120).
Now, we can calculate the rate of each pipe as follows:
Pipe A can fill 3 units of water per minute (120/40)
Pipe B can fill 2 units of water per minute (120/60)
Pipe C can empty 1 unit of water per minute (120/120)
When all three pipes are opened together, the net rate of filling the tank will be:
Net rate = (Rate of A + Rate of B) - Rate of C
Net rate = (3 + 2) - 1
Net rate = 4 units of water per minute
Using the formula: Time = Volume/Rate, we can calculate the time taken to fill the tank.
Time = 120/4
Time taken to fill the tank = 30 minutes
Therefore, the correct answer is option A) 30.
Pipe A can fill the tank in 40 minutes
Pipe B can fill the tank in 60 minutes
Pipe C can empty the tank in 120 minutes
To find:
Time taken to fill the tank when all three pipes are opened together
Approach:
Let's assume the capacity of the tank to be 120 units of water (LCM of 40, 60, and 120).
Now, we can calculate the rate of each pipe as follows:
Pipe A can fill 3 units of water per minute (120/40)
Pipe B can fill 2 units of water per minute (120/60)
Pipe C can empty 1 unit of water per minute (120/120)
When all three pipes are opened together, the net rate of filling the tank will be:
Net rate = (Rate of A + Rate of B) - Rate of C
Net rate = (3 + 2) - 1
Net rate = 4 units of water per minute
Using the formula: Time = Volume/Rate, we can calculate the time taken to fill the tank.
Time = 120/4
Time taken to fill the tank = 30 minutes
Therefore, the correct answer is option A) 30.
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Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer?
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Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer?.
Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer?.
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Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Two pipes A and B can alone fill a tank in 40 minutes and 60 minutes respectively. Pipe C can alone empty the same tank in 120 minutes. If all three pipesare opened together, then in how many minutes will the tank be filleda)30b)50c)75d)90Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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