# 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 - Mathematics

MCQ

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

#### 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.

Concept: Time and Work (Entrance Exam)
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