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Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.
- a)10 min
- b)18 min
- c)8 min
- d)None
- e)All of the above
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If ...
Let y be closed after a minutes.
acc to ques,
part filled by (x+y) in a min= a/24+a/32
part filled by X in (18-a)min=(18-a)×1/24
together,
a/24+a/32+(18-a)1/24=1
on solving,
a=8
Y should be closed after 8 mins.
acc to ques,
part filled by (x+y) in a min= a/24+a/32
part filled by X in (18-a)min=(18-a)×1/24
together,
a/24+a/32+(18-a)1/24=1
on solving,
a=8
Y should be closed after 8 mins.
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Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If ...
To solve this problem, we need to find the rate at which each pipe fills the cistern and then use that information to determine when to close pipe y.
Let's assume that the cistern has a capacity of 1 unit.
Rate of pipe x = 1/24 units per minute
Rate of pipe y = 1/32 units per minute
If both pipes are opened together, their combined rate is:
Rate of both pipes = (1/24) + (1/32) = 8/192 + 6/192 = 14/192 = 7/96 units per minute
Now, we need to find the time it takes for the cistern to be filled in 18 minutes.
Let's assume that pipe y is closed after t minutes.
In the first 18 minutes, pipe x and y together fill:
(7/96) x 18 = 7/96 x 18/1 = 7/96 x 18 = 7/32 units
Since the cistern has a capacity of 1 unit, the remaining amount that needs to be filled is:
1 - 7/32 = 32/32 - 7/32 = 25/32 units
Let's assume that pipe y is closed after t minutes. In that case, pipe x will continue to fill the cistern for (18 - t) minutes.
The amount of water filled by pipe x in (18 - t) minutes is:
(1/24) x (18 - t) = (18 - t)/24 units
Now, we can set up the equation:
(18 - t)/24 = 25/32
To solve for t, we can cross-multiply:
32(18 - t) = 24(25)
576 - 32t = 600
-32t = 600 - 576
-32t = 24
t = 24/32
t = 3/4
Therefore, pipe y should be closed after 3/4 minutes, which is equivalent to 45 seconds or 0.75 minutes.
Hence, the correct answer is option 'C' - 8 minutes.
Let's assume that the cistern has a capacity of 1 unit.
Rate of pipe x = 1/24 units per minute
Rate of pipe y = 1/32 units per minute
If both pipes are opened together, their combined rate is:
Rate of both pipes = (1/24) + (1/32) = 8/192 + 6/192 = 14/192 = 7/96 units per minute
Now, we need to find the time it takes for the cistern to be filled in 18 minutes.
Let's assume that pipe y is closed after t minutes.
In the first 18 minutes, pipe x and y together fill:
(7/96) x 18 = 7/96 x 18/1 = 7/96 x 18 = 7/32 units
Since the cistern has a capacity of 1 unit, the remaining amount that needs to be filled is:
1 - 7/32 = 32/32 - 7/32 = 25/32 units
Let's assume that pipe y is closed after t minutes. In that case, pipe x will continue to fill the cistern for (18 - t) minutes.
The amount of water filled by pipe x in (18 - t) minutes is:
(1/24) x (18 - t) = (18 - t)/24 units
Now, we can set up the equation:
(18 - t)/24 = 25/32
To solve for t, we can cross-multiply:
32(18 - t) = 24(25)
576 - 32t = 600
-32t = 600 - 576
-32t = 24
t = 24/32
t = 3/4
Therefore, pipe y should be closed after 3/4 minutes, which is equivalent to 45 seconds or 0.75 minutes.
Hence, the correct answer is option 'C' - 8 minutes.
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Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer?
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Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. 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 pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. 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 pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. 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 pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. 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 pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two pipes x and y can fill a cistern in 24 minute and 32 min. res. If both the pipes are opened together, then after how much time should ybe closed so that tank is full in 18 minutes.a)10 minb)18 minc)8 mind)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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