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Two pipes A and B can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?
- a)8 min
- b)16 min
- c)5 min
- d)13 min
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two pipes A and B can fill a tank in 48 minutes and 64 minutes respect...
GIVEN:
Pipe A and B can fill a tank in 48 min and 64 min respectively
Tank will be filled in 36 minutes
FORMULA USED:
Part filled by (A + B) in x min. + part filled by A in (36 – x) min = 1
CALCULATION:
Let B be closed after x minutes. Then,
Part filled by (A + B) in x min. + part filled by A in (36 – x) min = 1
x (1/48 + 1/64) + (36 – x) × 1/48 = 1
⇒ 7x/192 + (36 – x)/48 = 1
⇒ 7x + 4 (36 – x) = 192
∴ x = 16
∴ B must be closed after 16 minutes
Most Upvoted Answer
Two pipes A and B can fill a tank in 48 minutes and 64 minutes respect...
Solution:
Let the time for which both pipes are open be 't' minutes.
Volume of tank filled in 't' minutes by pipe A = (1/48) x t
Volume of tank filled in 't' minutes by pipe B = (1/64) x t
Combined volume of tank filled in 't' minutes = (1/48 + 1/64) x t
= (4+3) / (192) x t
= (7/192) x t
The remaining volume of the tank that needs to be filled = 1 - (7/192) x t
To fill the remaining volume in 36 - t minutes, the rate of pipe A and B should be equal.
Therefore, (1/48) x (36 - t) = (1/64) x (t - x)
Solving for 't', we get t = 16 minutes.
Therefore, pipe B should be closed after 16 minutes so that the tank is full in 36 minutes.
Hence, the correct answer is option 'B' (16 min).
Let the time for which both pipes are open be 't' minutes.
Volume of tank filled in 't' minutes by pipe A = (1/48) x t
Volume of tank filled in 't' minutes by pipe B = (1/64) x t
Combined volume of tank filled in 't' minutes = (1/48 + 1/64) x t
= (4+3) / (192) x t
= (7/192) x t
The remaining volume of the tank that needs to be filled = 1 - (7/192) x t
To fill the remaining volume in 36 - t minutes, the rate of pipe A and B should be equal.
Therefore, (1/48) x (36 - t) = (1/64) x (t - x)
Solving for 't', we get t = 16 minutes.
Therefore, pipe B should be closed after 16 minutes so that the tank is full in 36 minutes.
Hence, the correct answer is option 'B' (16 min).
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Two pipes A and B can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. Can you explain this answer?
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Two pipes A and B can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. 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 fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. 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 fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. Can you explain this answer?.
Two pipes A and B can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. 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 fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. 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 fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two pipes A and B can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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Two pipes A and B can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two pipes A and B can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two pipes A and B can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 36 minutes?a)8 minb)16 minc)5 mind)13 minCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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