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ExamsIBPS POQuantitative Aptitude

Pipe A fills tank in 16 min, B empties in 24 min. Both open; B closed after x min, tank full in 30 min. Find x.

  1. 21 minutes
  2. 20 minutes
  3. 18 minutes
  4. 15 minutes

Correct answer: 21 minutes

Solution

Net rate with both pipes: 1/16-1/24=1/48. For x min both open, then only A for (30-x) min. x/48+(30-x)/16=1. Multiply by 48: x+3(30-x)=48 → x+90-3x=48 → -2x=-42 → x=21 min.

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