Multiple Choice Questions

Pipe A can fill an empty tank in 10 h Pipe B can fill the same tank when empty in 15 h and Pipe C ca...........

Quantitative Aptitude (MTS) Pipes&cistern

Pipe A can fill an empty tank in 10 h, Pipe B can fill the same tank, when empty, in 15 h, and Pipe C can empty the same tank,

when completely full, in 12 h. Find the time taken to fill half the tank if all three pipes are opened simultaneously when the tank

is empty.

This questions was previously asked in

SSC MTS 7th July 2022 Shift-3

6 h

4 h

12 h

8 h

- Pipe A fills the tank in 10 hours, so it adds 1/10 of the tank per hour.

- Pipe B fills the tank in 15 hours, so it adds 1/15 of the tank per hour.

- Pipe C empties the tank in 12 hours, so it removes 1/12 of the tank per hour.

- Combined rate: $\frac{1}{10} + \frac{1}{15} - \frac{1}{12} = \frac{6 + 4 - 5}{60} = \frac{5}{60} = \frac{1}{12}$ of the tank per hour.

- To fill half the tank: $\frac{1 / 2}{1 / 12} = 6$ hours is needed.

- Option 1: 6 h is the correct answer.

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