Class 7 Exam > Class 7 Questions > Two pipes A and B can fill a tank in 15 minut...
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Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
- a)10 min. 20 sec.
- b)11 min. 45 sec.
- c)12 min. 30 sec.
- d)14 min. 40 sec.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respect...
Part filled in 4 minutes = 4(1/15 + 1/20)
= 7/15
Remaining part = (1 – 7/15) = 8/15
Part filled by B in 1 minute = 1/20
∴ 1/20 : 8/15 : : 1: x
x = (8/15 × 1 × 20) =
min
= 10 min. 40 sec.
The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec.
= 7/15
Remaining part = (1 – 7/15) = 8/15
Part filled by B in 1 minute = 1/20
∴ 1/20 : 8/15 : : 1: x
x = (8/15 × 1 × 20) =
min= 10 min. 40 sec.
The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec.
Most Upvoted Answer
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respect...
To find the total time required to fill the tank, we need to calculate the rate at which the tank is being filled when both pipes A and B are open, and then use that rate to determine the time it takes to fill the remaining portion of the tank after pipe A is turned off.
Let's first calculate the rate at which each pipe fills the tank:
Pipe A fills the tank in 15 minutes, so its filling rate is 1/15 of the tank per minute.
Pipe B fills the tank in 20 minutes, so its filling rate is 1/20 of the tank per minute.
When both pipes A and B are open, their combined filling rate is the sum of their individual rates:
Combined filling rate = 1/15 + 1/20 = 4/60 + 3/60 = 7/60 of the tank per minute.
Now, let's determine the amount of water that has been filled in the tank after 4 minutes when pipe A is turned off:
In 4 minutes, both pipes A and B have been open, so the amount of water filled by both pipes is:
Amount filled in 4 minutes = (7/60) * 4 = 28/60 of the tank.
After 4 minutes, pipe A is turned off and only pipe B continues to fill the tank. We need to calculate how long it takes for pipe B to fill the remaining portion of the tank, which is 1 - 28/60 = 32/60 of the tank.
Since pipe B fills the tank at a rate of 1/20 of the tank per minute, the time it takes to fill the remaining portion of the tank is:
Time = (32/60)/(1/20) = (32/60) * (20/1) = 32/3 minutes.
Finally, to find the total time required to fill the tank, we add the time it took for both pipes to fill the tank initially (4 minutes) and the time it took for pipe B to fill the remaining portion (32/3 minutes):
Total time = 4 + 32/3 = 12 + 32/3 = 36/3 + 32/3 = 68/3 minutes.
Converting this to minutes and seconds:
Total time = 22 minutes and 40 seconds.
Therefore, the correct answer is option D) 14 minutes and 40 seconds.
Let's first calculate the rate at which each pipe fills the tank:
Pipe A fills the tank in 15 minutes, so its filling rate is 1/15 of the tank per minute.
Pipe B fills the tank in 20 minutes, so its filling rate is 1/20 of the tank per minute.
When both pipes A and B are open, their combined filling rate is the sum of their individual rates:
Combined filling rate = 1/15 + 1/20 = 4/60 + 3/60 = 7/60 of the tank per minute.
Now, let's determine the amount of water that has been filled in the tank after 4 minutes when pipe A is turned off:
In 4 minutes, both pipes A and B have been open, so the amount of water filled by both pipes is:
Amount filled in 4 minutes = (7/60) * 4 = 28/60 of the tank.
After 4 minutes, pipe A is turned off and only pipe B continues to fill the tank. We need to calculate how long it takes for pipe B to fill the remaining portion of the tank, which is 1 - 28/60 = 32/60 of the tank.
Since pipe B fills the tank at a rate of 1/20 of the tank per minute, the time it takes to fill the remaining portion of the tank is:
Time = (32/60)/(1/20) = (32/60) * (20/1) = 32/3 minutes.
Finally, to find the total time required to fill the tank, we add the time it took for both pipes to fill the tank initially (4 minutes) and the time it took for pipe B to fill the remaining portion (32/3 minutes):
Total time = 4 + 32/3 = 12 + 32/3 = 36/3 + 32/3 = 68/3 minutes.
Converting this to minutes and seconds:
Total time = 22 minutes and 40 seconds.
Therefore, the correct answer is option D) 14 minutes and 40 seconds.
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Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer?
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Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer?.
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer?.
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Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?a)10 min. 20 sec.b)11 min. 45 sec.c)12 min. 30 sec.d)14 min. 40 sec.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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