A container is normally filled in 5 hours However it takes 6 hours when there is a leak at the botto...........

Quantitative Aptitude (CHSL) Pipes&cistern

A container is normally filled in 5 hours. However, it takes 6 hours when there is a leak at the bottom. If the container is full, in

what time would the leak empty it, if no water is allowed into the container during that period?

This questions was previously asked in

SSC CHSL 30th May 2022 Shift-1

5 h

6 h

15 h

30 h

Let’s break it down:

- If you fill the container with no leak, it takes 5 hours. So, the rate is 1/5 of the tank per hour.

- With the leak, it fills in 6 hours. So, the “effective” rate is 1/6 of the tank per hour.

- That means the leak alone is emptying the tank at (1/5 - 1/6) per hour.

Let’s do the math:

1/5 - 1/6 = (6-5)/30 = 1/30 per hour.

So, the leak empties the full container in 30 hours.

Now, the options:

- 1: 5 h (That’s the time to fill without a leak, not the empty time)

- 2: 6 h (That’s with the leak hurting your progress, but not just the leak)

- 3: 15 h (No connection here)

- 4: 30 h (That’s exactly our answer)

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