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Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.
- a)1 min
- b)2 min
- c)5.3 min
- d)6.5 min
Correct answer is option 'B'. Can you explain this answer?
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Two pipes can fill a tank in 1hr. and 72 min respectively both the pi...
L.C.M. ⋯=360
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A=60−…−6
B=72−⋯−5
An=6×5/6=5,Bn=5×9/10=4.5
(6+5)x 31+(5+4.5)x x= 360, x = 2
Most Upvoted Answer
Two pipes can fill a tank in 1hr. and 72 min respectively both the pi...
Understanding the problem:
- Let the full efficiency of the first pipe be x.
- The full efficiency of the second pipe will be 60/72 * x = 5/6 * x
- The full efficiency of the third pipe will be 60/72 * x = 9/10 * x
Calculating the combined efficiency:
- The combined efficiency of the first and second pipe initially = x + 5/6 * x = 11/6 * x
- The combined efficiency of all three pipes initially = 11/6 * x + 9/10 * x = 85/30 * x
Calculating the time taken initially:
- The time taken initially to fill the tank = 1 / (85/30 * x) = 30 / 85x = 6 / 17x
Calculating the time taken after the dust is cleared:
- The time taken after the dust is cleared to fill the remaining tank = 31 min
- The combined efficiency of all three pipes after the dust is cleared = x + 5/6 * x + 9/10 * x = 41/10 * x
- Time taken to fill the tank after clearing the dust = 1 / (41/10 * x) = 10 / 41x = 31 min
Solving for x:
- From the above equations, we get 6 / 17x + 31 = 10 / 41x
- Solving the above equation, we get x = 2
- Therefore, the time taken to clear the dust in both pipes = 72 / 2 = 36 min
Therefore, the correct answer is 2 min.
- Let the full efficiency of the first pipe be x.
- The full efficiency of the second pipe will be 60/72 * x = 5/6 * x
- The full efficiency of the third pipe will be 60/72 * x = 9/10 * x
Calculating the combined efficiency:
- The combined efficiency of the first and second pipe initially = x + 5/6 * x = 11/6 * x
- The combined efficiency of all three pipes initially = 11/6 * x + 9/10 * x = 85/30 * x
Calculating the time taken initially:
- The time taken initially to fill the tank = 1 / (85/30 * x) = 30 / 85x = 6 / 17x
Calculating the time taken after the dust is cleared:
- The time taken after the dust is cleared to fill the remaining tank = 31 min
- The combined efficiency of all three pipes after the dust is cleared = x + 5/6 * x + 9/10 * x = 41/10 * x
- Time taken to fill the tank after clearing the dust = 1 / (41/10 * x) = 10 / 41x = 31 min
Solving for x:
- From the above equations, we get 6 / 17x + 31 = 10 / 41x
- Solving the above equation, we get x = 2
- Therefore, the time taken to clear the dust in both pipes = 72 / 2 = 36 min
Therefore, the correct answer is 2 min.
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Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer?
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Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer?.
Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency, and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear the dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
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