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A water tank has 2 inlet and 1 outlet pipe attached to it. Inlet pipes individually require 5 and 10 hours respectively to fill the tank and outlet pipe requires 4 hours to empty the full tank. All pipes were opened for 15 hours. Later outlet pipe and smaller inlet pipe were closed. How much more time is required to fill the tank completely?
  • a)
    1 hour and 45 minutes
  • b)
    2 hour and 25 minutes
  • c)
    1 hour and 15 minutes
  • d)
    1 hour and 25 minutes
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A water tank has 2 inlet and 1 outlet pipe attached to it. Inlet pipes...
There are 3 pipes;
If one pipe fills a water tank in x hours; Work done by the pipe in 1 hour is 1 / x.
So work done by 3 pipes I1 (5 hours inlet), I2 (10 hours inlet), I3 (4 hours outlet) be 1 / 5, 1 / 10 and -1 / 4.
So total work done by all pipes in 1 hour = 1 / 5 + 1 / 10 - 1 / 4 = 1 / 20.
Work done by all pipes after 15 hours = 15 / 20 = 3 / 4
Work left = 1 / 4
Now we have only I1 to fill the rest of tank which is 1 / 4 empty of its capacity.
Time taken by I1 = total work/ work done by I1 in 1 hour = (1 / 4)/(1 / 5) = 5 / 4 hours
= 1 hour and 15 minutes
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Most Upvoted Answer
A water tank has 2 inlet and 1 outlet pipe attached to it. Inlet pipes...
There are 3 pipes;
If one pipe fills a water tank in x hours; Work done by the pipe in 1 hour is 1 / x.
So work done by 3 pipes I1 (5 hours inlet), I2 (10 hours inlet), I3 (4 hours outlet) be 1 / 5, 1 / 10 and -1 / 4.
So total work done by all pipes in 1 hour = 1 / 5 + 1 / 10 - 1 / 4 = 1 / 20.
Work done by all pipes after 15 hours = 15 / 20 = 3 / 4
Work left = 1 / 4
Now we have only I1 to fill the rest of tank which is 1 / 4 empty of its capacity.
Time taken by I1 = total work/ work done by I1 in 1 hour = (1 / 4)/(1 / 5) = 5 / 4 hours
= 1 hour and 15 minutes
Free Test
Community Answer
A water tank has 2 inlet and 1 outlet pipe attached to it. Inlet pipes...

Given Data:
- Inlet pipe 1 fills the tank in 5 hours
- Inlet pipe 2 fills the tank in 10 hours
- Outlet pipe empties the tank in 4 hours
- All pipes were opened for 15 hours initially

Calculation:
- In 1 hour, the part of the tank filled by Inlet pipe 1 = 1/5
- In 1 hour, the part of the tank filled by Inlet pipe 2 = 1/10
- In 1 hour, the part of the tank emptied by Outlet pipe = 1/4
- In 15 hours, the tank is filled by (15/5 + 15/10 - 15/4) = 3 + 1.5 - 3.75 = 0.75

Remaining part of the tank to be filled:
- Since 0.75 part of the tank is already filled, the remaining part to be filled = 1 - 0.75 = 0.25

Time required to fill the remaining part:
- After closing the Outlet pipe and smaller Inlet pipe, only Inlet pipe 2 is filling the tank
- In 1 hour, Inlet pipe 2 fills 1/10 part of the tank
- Time required to fill 0.25 part of the tank = 0.25 / (1/10) = 2.5 hours = 2 hours and 30 minutes

Therefore, the tank requires 1 hour and 15 minutes more to fill it completely. Hence, the correct answer is option C.
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A water tank has 2 inlet and 1 outlet pipe attached to it. Inlet pipes individually require 5 and 10 hours respectively to fill the tank and outlet pipe requires 4 hours to empty the full tank. All pipes were opened for 15 hours. Later outlet pipe and smaller inlet pipe were closed. How much more time is required to fill the tank completely?a) 1 hour and 45 minutesb) 2 hour and 25 minutesc) 1 hour and 15 minutesd) 1 hour and 25 minutesCorrect answer is option 'C'. Can you explain this answer?
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A water tank has 2 inlet and 1 outlet pipe attached to it. Inlet pipes individually require 5 and 10 hours respectively to fill the tank and outlet pipe requires 4 hours to empty the full tank. All pipes were opened for 15 hours. Later outlet pipe and smaller inlet pipe were closed. How much more time is required to fill the tank completely?a) 1 hour and 45 minutesb) 2 hour and 25 minutesc) 1 hour and 15 minutesd) 1 hour and 25 minutesCorrect answer is option 'C'. 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 A water tank has 2 inlet and 1 outlet pipe attached to it. Inlet pipes individually require 5 and 10 hours respectively to fill the tank and outlet pipe requires 4 hours to empty the full tank. All pipes were opened for 15 hours. Later outlet pipe and smaller inlet pipe were closed. How much more time is required to fill the tank completely?a) 1 hour and 45 minutesb) 2 hour and 25 minutesc) 1 hour and 15 minutesd) 1 hour and 25 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water tank has 2 inlet and 1 outlet pipe attached to it. Inlet pipes individually require 5 and 10 hours respectively to fill the tank and outlet pipe requires 4 hours to empty the full tank. All pipes were opened for 15 hours. Later outlet pipe and smaller inlet pipe were closed. How much more time is required to fill the tank completely?a) 1 hour and 45 minutesb) 2 hour and 25 minutesc) 1 hour and 15 minutesd) 1 hour and 25 minutesCorrect answer is option 'C'. Can you explain this answer?.
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