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An inlet pipe A lets water in a tank at 2 litres per minute and another pipe B lets water in at 3 litres per minute. There is an outlet pipe at the bottom, which can empty the tank in 10 hours. If all the three pipes were kept on, then the tank would be filled in 8 hours. What is the capacity of the tank?
  • a)
    1000.11 litres
  • b)
    1333.33 litres
  • c)
    1250.5 litres
  • d)
    1466.66 litres
  • e)
    1575.25 litres
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An inlet pipe A lets water in a tank at 2 litres per minute and anothe...
Problem Statement:

Inlet pipe A lets water in a tank at 2 litres per minute and another pipe B lets water in at 3 litres per minute. There is an outlet pipe at the bottom, which can empty the tank in 10 hours. If all the three pipes were kept on, then the tank would be filled in 8 hours. What is the capacity of the tank?

Solution:

Let the capacity of the tank be x litres.

Inlet pipe A fills the tank at the rate of 2 litres per minute.

Inlet pipe B fills the tank at the rate of 3 litres per minute.

Outlet pipe empties the tank at the rate of 1/10 litres per minute.

When all pipes are open, the effective rate of filling the tank is:

2 + 3 - 1/10 = 29/10 litres per minute.

Therefore, the tank can be filled in 8 hours (i.e. 480 minutes):

29/10 * 480 = 1392 litres.

Therefore, the capacity of the tank is 1392 litres, which is option (B).
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Community Answer
An inlet pipe A lets water in a tank at 2 litres per minute and anothe...
In 8 hours, the outlet pipe can empty 8/10 of the tank.
So, in 8 hours, both the inlet pipes together will fill 18/10 of the tank.
18/10  tank = (2 + 3 litres) × 60 × 8 litres = 2400 litres
Capacity of the tank 
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An inlet pipe A lets water in a tank at 2 litres per minute and another pipe B lets water in at 3 litres per minute. There is an outlet pipe at the bottom, which can empty the tank in 10 hours. If all the three pipes were kept on, then the tank would be filled in 8 hours. What is the capacity of the tank?a)1000.11 litresb)1333.33 litresc)1250.5 litresd)1466.66 litrese)1575.25 litresCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An inlet pipe A lets water in a tank at 2 litres per minute and another pipe B lets water in at 3 litres per minute. There is an outlet pipe at the bottom, which can empty the tank in 10 hours. If all the three pipes were kept on, then the tank would be filled in 8 hours. What is the capacity of the tank?a)1000.11 litresb)1333.33 litresc)1250.5 litresd)1466.66 litrese)1575.25 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inlet pipe A lets water in a tank at 2 litres per minute and another pipe B lets water in at 3 litres per minute. There is an outlet pipe at the bottom, which can empty the tank in 10 hours. If all the three pipes were kept on, then the tank would be filled in 8 hours. What is the capacity of the tank?a)1000.11 litresb)1333.33 litresc)1250.5 litresd)1466.66 litrese)1575.25 litresCorrect answer is option 'B'. Can you explain this answer?.
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