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A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?

  • A.7 hours
  • B.7.1 hours
  • C.7.2 hours
  • D.7.3 hours

Answer: C

When we have question like one is filling the tank and other is empting it, then we subtraction as,

Filled in 1 hour = 1/4

Empties in 1 hour = 1/9

Net filled in 1 hour = 1/4 - 1/9

= 5/36

So cistern will be filled in 36/5 hours i.e. 7.2 hours

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