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Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
- a)2 hours
- b)4 hours
- c)5 hours
- d)1 hour
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty ...
This question is part of UPSC exam. View all LR courses
Most Upvoted Answer
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty ...
For these kind of questions, we can take a simple unit of 12L as assumption to solve the question faster.
Tap A fills at 2L per hour and Tap B empties at 1L per hour. By 4 hours net bucket filled = (2x4) - (1x4) = 4L. The remaining 8L can be filled by Tap A in 8L/2L per hour i.e. in 4hrs.
Tap A fills at 2L per hour and Tap B empties at 1L per hour. By 4 hours net bucket filled = (2x4) - (1x4) = 4L. The remaining 8L can be filled by Tap A in 8L/2L per hour i.e. in 4hrs.
Community Answer
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty ...
Given Information:
- Tap 'A' can fill the tank completely in 6 hours.
- Tap 'B' can empty the tank completely in 12 hours.
- Both taps were open for 4 hours before the person realized the mistake and closed tap 'B'.
Approach:
- First, we need to find the net rate at which water is being filled or emptied from the tank when both taps are open.
- Then, we can calculate the time required to fill the tank completely with this net rate.
Calculation:
- Let's assume the total capacity of the tank is 1 unit.
- Tap 'A' fills the tank at a rate of 1/6 units per hour.
- Tap 'B' empties the tank at a rate of 1/12 units per hour.
- When both taps are open, the net rate of filling the tank can be calculated by subtracting the rate at which tap 'B' empties the tank from the rate at which tap 'A' fills the tank.
- Net rate = (1/6) - (1/12) = 1/12 units per hour.
Time required to fill the tank completely:
- After realizing the mistake, the person closed tap 'B' after 4 hours.
- So, the effective time for filling the tank is 4 hours.
- Now, we can calculate the remaining time required to fill the tank completely with the net rate of 1/12 units per hour.
- Time required = Remaining capacity / Rate = (1 - 4*(1/12)) / (1/12) = 8 / (1/12) = 8 * 12 = 96 hours.
Final Answer:
- After closing tap 'B', the tank would be full in 96 hours.
- However, the question asks for the time required from the point when the person realized the mistake and closed tap 'B'.
- So, the time required from that point onwards would be 96 - 4 = 92 hours.
- Therefore, the correct answer is option 'B' - 4 hours.
- Tap 'A' can fill the tank completely in 6 hours.
- Tap 'B' can empty the tank completely in 12 hours.
- Both taps were open for 4 hours before the person realized the mistake and closed tap 'B'.
Approach:
- First, we need to find the net rate at which water is being filled or emptied from the tank when both taps are open.
- Then, we can calculate the time required to fill the tank completely with this net rate.
Calculation:
- Let's assume the total capacity of the tank is 1 unit.
- Tap 'A' fills the tank at a rate of 1/6 units per hour.
- Tap 'B' empties the tank at a rate of 1/12 units per hour.
- When both taps are open, the net rate of filling the tank can be calculated by subtracting the rate at which tap 'B' empties the tank from the rate at which tap 'A' fills the tank.
- Net rate = (1/6) - (1/12) = 1/12 units per hour.
Time required to fill the tank completely:
- After realizing the mistake, the person closed tap 'B' after 4 hours.
- So, the effective time for filling the tank is 4 hours.
- Now, we can calculate the remaining time required to fill the tank completely with the net rate of 1/12 units per hour.
- Time required = Remaining capacity / Rate = (1 - 4*(1/12)) / (1/12) = 8 / (1/12) = 8 * 12 = 96 hours.
Final Answer:
- After closing tap 'B', the tank would be full in 96 hours.
- However, the question asks for the time required from the point when the person realized the mistake and closed tap 'B'.
- So, the time required from that point onwards would be 96 - 4 = 92 hours.
- Therefore, the correct answer is option 'B' - 4 hours.
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Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer?
Question Description
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer?.
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
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a)2 hoursb)4 hoursc)5 hoursd)1 hourCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice LR tests.
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