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Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?
- a)8 minutes
- b)10 minutes
- c)324/37 minutes
- d)312/37 minutes
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minut...
Let the time after which the water tanker gets filled be 't' minutes.
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In one minute pipe x can fill 1/20 part.
In t minutes, pipe x can then fill t/20 part.
Therefore, t/20 + t-2/25 + t/30 = 1
On solving, we get t = 324/37 minutes.
Most Upvoted Answer
Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minut...
To solve this problem, we can use the concept of rates. Let's assume that the capacity of the water tanker is 1 unit.
The rate at which pipe x can fill the tanker is 1/20 units per minute.
The rate at which pipe y can fill the tanker is 1/25 units per minute.
The rate at which pipe z can fill the tanker is 1/30 units per minute.
When all three pipes are opened, the combined rate at which they can fill the tanker is the sum of their individual rates:
1/20 + 1/25 + 1/30 = (6 + 4.8 + 4)/120 = 14.8/120 = 37/300 units per minute.
Now, let's assume that the tank gets filled in t minutes when all three pipes are opened.
In t minutes, the amount of water filled by pipe x is (1/20)t units.
In t minutes, the amount of water filled by pipe y is (1/25)(t-2) units. (Note that pipe y is closed 2 minutes before the tank gets filled)
In t minutes, the amount of water filled by pipe z is (1/30)t units.
According to the given condition, the sum of the amounts filled by each pipe should equal the capacity of the tank, which is 1 unit:
(1/20)t + (1/25)(t-2) + (1/30)t = 1
Multiplying through by 600 to get rid of the fractions, we have:
30t + 24(t-2) + 20t = 600
30t + 24t - 48 + 20t = 600
74t - 48 = 600
74t = 648
t = 648/74
t = 324/37 minutes
Therefore, the time taken to fill the tank when pipe y is closed 2 minutes before the tank gets filled is 324/37 minutes. Thus, the correct answer is option C.
The rate at which pipe x can fill the tanker is 1/20 units per minute.
The rate at which pipe y can fill the tanker is 1/25 units per minute.
The rate at which pipe z can fill the tanker is 1/30 units per minute.
When all three pipes are opened, the combined rate at which they can fill the tanker is the sum of their individual rates:
1/20 + 1/25 + 1/30 = (6 + 4.8 + 4)/120 = 14.8/120 = 37/300 units per minute.
Now, let's assume that the tank gets filled in t minutes when all three pipes are opened.
In t minutes, the amount of water filled by pipe x is (1/20)t units.
In t minutes, the amount of water filled by pipe y is (1/25)(t-2) units. (Note that pipe y is closed 2 minutes before the tank gets filled)
In t minutes, the amount of water filled by pipe z is (1/30)t units.
According to the given condition, the sum of the amounts filled by each pipe should equal the capacity of the tank, which is 1 unit:
(1/20)t + (1/25)(t-2) + (1/30)t = 1
Multiplying through by 600 to get rid of the fractions, we have:
30t + 24(t-2) + 20t = 600
30t + 24t - 48 + 20t = 600
74t - 48 = 600
74t = 648
t = 648/74
t = 324/37 minutes
Therefore, the time taken to fill the tank when pipe y is closed 2 minutes before the tank gets filled is 324/37 minutes. Thus, the correct answer is option C.
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Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?a)8 minutesb)10 minutesc)324/37 minutesd)312/37 minutesCorrect answer is option 'C'. Can you explain this answer?
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Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?a)8 minutesb)10 minutesc)324/37 minutesd)312/37 minutesCorrect answer is option 'C'. 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 Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?a)8 minutesb)10 minutesc)324/37 minutesd)312/37 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?a)8 minutesb)10 minutesc)324/37 minutesd)312/37 minutesCorrect answer is option 'C'. Can you explain this answer?.
Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?a)8 minutesb)10 minutesc)324/37 minutesd)312/37 minutesCorrect answer is option 'C'. 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 Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?a)8 minutesb)10 minutesc)324/37 minutesd)312/37 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?a)8 minutesb)10 minutesc)324/37 minutesd)312/37 minutesCorrect answer is option 'C'. Can you explain this answer?.
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