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A pump can fill a tank in 4 hours, but due to a leak, the tank now gets filled in 5 hours. How long will it take the leakage to empty the tank when it is full?
- a)9 hours
- b)4.5 hours
- c)20 hours
- d)1 hour
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A pump can fill a tank in 4 hours, but due to a leak, the tank now get...
Let the total amount of work done in filling a tank be 20 units. (L.C.M of 4 and 5)
A pump can fill a tank in 4 hours,
⇒ Work done by pump in 1 hour = 20/4 = 5 units.
A pump can fill a tank in 4 hours,
⇒ Work done by pump in 1 hour = 20/4 = 5 units.
Due to a leak, the tank now gets filled in 5 hours,
⇒ Work done by Pump and Leakage together in 1 hour = 20/5 = 4 units.
⇒ Work done by leakage in 1 hour = -1 units.
∴ Time required for leakage to empty the tank = -20/-1 = 20 hours.
⇒ Work done by Pump and Leakage together in 1 hour = 20/5 = 4 units.
⇒ Work done by leakage in 1 hour = -1 units.
∴ Time required for leakage to empty the tank = -20/-1 = 20 hours.
Most Upvoted Answer
A pump can fill a tank in 4 hours, but due to a leak, the tank now get...
Understanding the problem:
- Let the tank's capacity be 1 unit.
- The pump can fill the tank in 4 hours, so its rate of filling is 1/4 units per hour.
- Due to the leak, the tank now gets filled in 5 hours, so the effective rate of filling is 1/5 units per hour.
Calculating the leakage rate:
- The leakage rate can be calculated by finding the difference between the rates of filling with and without the leak.
- Leakage rate = Rate of filling without leak - Rate of filling with leak
- Leakage rate = 1/4 - 1/5 = (5 - 4)/20 = 1/20 units per hour
Finding the time taken to empty the tank:
- Time taken to empty the tank when full = 1 / Leakage rate
- Time taken to empty the tank = 1 / (1/20) = 20 hours
Therefore, it will take the leakage 20 hours to empty the tank when it is full. Hence, the correct answer is option 'C' - 20 hours.
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Community Answer
A pump can fill a tank in 4 hours, but due to a leak, the tank now get...
Let the total amount of work done in filling a tank be 20 units. (L.C.M of 4 and 5)
A pump can fill a tank in 4 hours,
⇒ Work done by pump in 1 hour = 20/4 = 5 units.
A pump can fill a tank in 4 hours,
⇒ Work done by pump in 1 hour = 20/4 = 5 units.
Due to a leak, the tank now gets filled in 5 hours,
⇒ Work done by Pump and Leakage together in 1 hour = 20/5 = 4 units.
⇒ Work done by leakage in 1 hour = -1 units.
∴ Time required for leakage to empty the tank = -20/-1 = 20 hours.
⇒ Work done by Pump and Leakage together in 1 hour = 20/5 = 4 units.
⇒ Work done by leakage in 1 hour = -1 units.
∴ Time required for leakage to empty the tank = -20/-1 = 20 hours.
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A pump can fill a tank in 4 hours, but due to a leak, the tank now gets filled in 5 hours. How long will it take the leakage to empty the tank when it is full?a)9 hoursb)4.5 hoursc)20 hoursd)1 hourCorrect answer is option 'C'. Can you explain this answer?
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A pump can fill a tank in 4 hours, but due to a leak, the tank now gets filled in 5 hours. How long will it take the leakage to empty the tank when it is full?a)9 hoursb)4.5 hoursc)20 hoursd)1 hourCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A pump can fill a tank in 4 hours, but due to a leak, the tank now gets filled in 5 hours. How long will it take the leakage to empty the tank when it is full?a)9 hoursb)4.5 hoursc)20 hoursd)1 hourCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pump can fill a tank in 4 hours, but due to a leak, the tank now gets filled in 5 hours. How long will it take the leakage to empty the tank when it is full?a)9 hoursb)4.5 hoursc)20 hoursd)1 hourCorrect answer is option 'C'. Can you explain this answer?.
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