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One tap can fill a water tank in 40 minutes and another tap can make the filled tank empty in 60 minutes. If both the taps are open. in how…

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One tap can fill a water tank in 40 minutes and another tap can make the filled tank empty in 60 minutes. If both the taps are open. in how many hours will the empty tank be filled
  • A2 hours
  • B2.5 hours
  • C3 hours
  • D3.5 hours
Answer not set
0
CCommunity
2 hours : option 1 is the correct answer
0
CCommunity
Solution:

Given: One tap can fill the water tank in 40 minutes and

Another tap can empty the filled tank in 60 minutes.

When the two taps are opened simultaneously,

In one minute, the first tap can fill 1/40 part of the tank and the second tap can empty 1/60 part of the tank.

So, in one minute => (1/40 - 1/60 )part of the tank will be filled.

=> (3 - 2) / 120

=> 1/120

So, the tank will be filled in 120 minutes or 2 hours.

The correct option is 1). 2 hours