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Pipe A can fill the tank in 6 hours and with help of B both can fill the tank in 12 hours. If both pipes opened together after how many hours should pipe B be closed so that the tank is filled in 8 hours?
  • a)
    2 hours
  • b)
    4 hours
  • c)
    6 hours
  • d)
    8 hours
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Pipe A can fill the tank in 6 hours and with help of B both can fill t...
Work = 1/Efficiency
Calculation:
⇒ Pipe A can fill the tank in 6 hours, and Pipe A and B together can fill the tank in 12 hours.
⇒ Pipe B can empty the tank = 1/(1/12 – 1/6) = -12 hours
⇒ In 8 hours A will fill tank = 8/6 = 4/3
⇒ A will fill the extra water = 1 – 4/3 = -1/3
⇒ This extra water will be removed by pipe B in = (-1/12)/(-1/3) = 1/4
⇒ B will be closed after  4 hours
∴ The required result will be 4 hours.
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Pipe A can fill the tank in 6 hours and with help of B both can fill the tank in 12 hours. If both pipes opened together after how many hours should pipe B be closed so that the tank is filled in 8 hours?a)2 hoursb)4 hoursc)6 hoursd)8 hoursCorrect answer is option 'B'. Can you explain this answer?
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