Pipes A and B can fill a tank in 18 minutes and 30 minutes respectively Pipe C attached to the tank ...........

Quantitative Aptitude (MTS) Pipes&cistern

Pipes A and B can fill a tank in 18 minutes and 30 minutes,respectively. Pipe C, attached to the tank, can drain off 125 litres of

water per minute. If all the pipes are opened together, the tank is filled in 45 minutes. The capacity of the tank, in litres, is:

This questions was previously asked in

SSC MTS 14th October 2021 Shift-3

1500

1375

1875

2000

- Pipe A fills the tank in 18 minutes, so it fills 1/18 of the tank per minute.

- Pipe B fills the tank in 30 minutes, so it fills 1/30 of the tank per minute.

- Pipe C drains 125 litres per minute.

- When all pipes are open, the tank gets filled in 45 minutes (so, 1/45 per minute net filling).

- Let tank capacity = x litres.

- Total fill per minute = x/18 + x/30 - 125 = x/45

- Solve: x/18 + x/30 - 125 = x/45

- LCM of 18, 30, and 45 is 90.

- Convert: 5x/90 + 3x/90 - 125 = 2x/90

- So, (5x+3x-2x)/90 = 125

- (6x/90) = 125

- x/15 = 125

- x = 1875 litres

Correct answer is Option 3: 1875 litres

- Options 1, 2, and 4 do not match the calculations.

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