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Two pipes A and B can fill a tank in 10 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)12m
- b)10m
- c)8m
- d)16m
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two pipes A and B can fill a tank in 10 minutes and 20 minutes respect...
A + B in 4 minute = 4 (1 / 10 + 1 / 20) = 4(2+1/20) = 12/20 = 3/5
Part remaning = 1 – (3 / 5) = 2 / 5
1 / 20 part is filled by B in 1 minute
2 / 5 part will be filled in = (20)* (2 / 5) = 8 minutes
Total = 8+4 = 12m
Part remaning = 1 – (3 / 5) = 2 / 5
1 / 20 part is filled by B in 1 minute
2 / 5 part will be filled in = (20)* (2 / 5) = 8 minutes
Total = 8+4 = 12m
Most Upvoted Answer
Two pipes A and B can fill a tank in 10 minutes and 20 minutes respect...
Calculation:
To find the total time required to fill the tank, we need to consider the rate at which each pipe fills the tank.
Rate of Pipe A:
Pipe A can fill the tank in 10 minutes, so its rate of filling the tank is 1/10 tank per minute.
Rate of Pipe B:
Pipe B can fill the tank in 20 minutes, so its rate of filling the tank is 1/20 tank per minute.
Combined Rate of A and B:
When both pipes are opened together, their combined rate of filling the tank is the sum of their individual rates:
1/10 + 1/20 = 3/20 tank per minute.
Time taken for Pipe A:
Pipe A is turned off after 4 minutes, so in 4 minutes, Pipe A fills:
4 * 1/10 = 2/5 of the tank.
Remaining tank to be filled:
After 4 minutes, the remaining tank to be filled is:
1 - 2/5 = 3/5 of the tank.
Total time to fill the remaining tank:
To fill the remaining 3/5 of the tank at the combined rate of A and B:
Time = (3/5) / (3/20) = 4 minutes.
Total time to fill the tank:
The total time required to fill the tank is the time taken by Pipe A (4 minutes) plus the time taken to fill the remaining tank (4 minutes) after Pipe A is turned off:
Total time = 4 + 4 = 8 minutes.
Therefore, the correct answer is option A) 8m.
To find the total time required to fill the tank, we need to consider the rate at which each pipe fills the tank.
Rate of Pipe A:
Pipe A can fill the tank in 10 minutes, so its rate of filling the tank is 1/10 tank per minute.
Rate of Pipe B:
Pipe B can fill the tank in 20 minutes, so its rate of filling the tank is 1/20 tank per minute.
Combined Rate of A and B:
When both pipes are opened together, their combined rate of filling the tank is the sum of their individual rates:
1/10 + 1/20 = 3/20 tank per minute.
Time taken for Pipe A:
Pipe A is turned off after 4 minutes, so in 4 minutes, Pipe A fills:
4 * 1/10 = 2/5 of the tank.
Remaining tank to be filled:
After 4 minutes, the remaining tank to be filled is:
1 - 2/5 = 3/5 of the tank.
Total time to fill the remaining tank:
To fill the remaining 3/5 of the tank at the combined rate of A and B:
Time = (3/5) / (3/20) = 4 minutes.
Total time to fill the tank:
The total time required to fill the tank is the time taken by Pipe A (4 minutes) plus the time taken to fill the remaining tank (4 minutes) after Pipe A is turned off:
Total time = 4 + 4 = 8 minutes.
Therefore, the correct answer is option A) 8m.
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