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A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?
  • a)
    2400 litters
  • b)
    4500 litters
  • c)
    1200 litters
  • d)
    7200 litters
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A tank has a leak which would empty the completely filled tank in 10 h...
Given Data:
- Leak empties the tank in 10 hours
- With a tap open, the leak takes 15 hours to empty the tank
- Tap admits 4 litres of water per minute

Approach:
- Let x be the total capacity of the tank in litres
- Rate of leak = x/10 litres per hour
- Rate of leak with tap open = x/15 litres per hour
- Rate of tap = 4 litres per minute = 240 litres per hour

Calculation:
- With the tap open, the effective rate of filling the tank = Rate of tap - Rate of leak
- 240 - x/15 = x/10
- 2400 - x = 3x
- 2400 = 4x
- x = 6000 litres

Conclusion:
Therefore, the tank holds 6000 litres of water. So, the correct answer is option D) 7200 litres.
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A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?a)2400 littersb)4500 littersc)1200 littersd)7200 littersCorrect answer is option 'D'. Can you explain this answer?
Question Description
A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?a)2400 littersb)4500 littersc)1200 littersd)7200 littersCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?a)2400 littersb)4500 littersc)1200 littersd)7200 littersCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?a)2400 littersb)4500 littersc)1200 littersd)7200 littersCorrect answer is option 'D'. Can you explain this answer?.
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