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Pipes A and B can fill a tank in 40 hours and x hours, respectively. Pipe C alone can empty the full tank in 10 hours. When all the three p…

3017Hard DSSSB TGT Computer Science 0 replies 1 views
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Pipes A and B can fill a tank in 40 hours and x hours, respectively. Pipe C alone can empty the full tank in 10 hours. When all the three pipes are opened together, then 1/6th part of the full tank is emptied in 4 hours. What is the value of x?

  • A36
  • B20
  • C24
  • D30
Correct answer: D

Explanation

Net emptying rate = (1/6)/4 = 1/24 per hour, so 1/10 − 1/40 − 1/x = 1/24. Hence 1/x = 1/10 − 1/40 − 1/24 = 1/30 and x = 30.

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