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A tank is connected to three pipes – Pipe A, B, and C. Pipe A can fill the tank in 6 hours, B can fill the tank in 8 hours and Pipe C can empty the full tank in 12 hours. How much time will it take to fill the tank completely if all three pipes are working together?

#### Options

4 hours

4 hours 48 minutes

5 hours

5 hours 20 minutes

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#### Solution

**4 hours 48 minutes**

**Explanation:**

A portion of a tank filled in 1 hour, when pipe A, B, and C are working together

`=1/6+1/8-1/12`

`=(4+3-2)/24=5/24` tank

Hence, the time required to fill the tank`=24/5` hours

= 4.8 hours

= 4 hours 48 minutes.

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