Pipe A can fill a tank in $5$ hours, pipe B in $10$ hours and pipe C in $30$ hours. If all the pipes are open, in how many hours will the tank be filled?

3

hrs

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2

hrs

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2.5

hrs

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3.5

hrs

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Solution

The correct option is C $3$ hrs
Part filled by A in $1$ hour $= \frac{1}{5}$
Part filled by B in $1$ hour $= \frac{1}{10}$
Part filled by C in $1$ hour $= \frac{1}{30}$
Part filled by $(\begin{matrix} A + B + C \end{matrix})$ in $1$ hour $= \frac{1}{5} + \frac{1}{10} + \frac{1}{30} = \frac{1}{3}$

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Similar questions

Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tak be full?

(a) 7 hrs 15 min

(b) 7 hrs 30 min

(d) 8 hrs

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours.
How long will it take to fill the tank, if all the three pipes are opened together?

Q. Tick (✓) the correct answer:
Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tank be full?
(a) 7 hrs 15 min
(b) 7 hrs 30 min
(c) 7 hrs 45 min
(d) 8 hrs

2 pipes P and Q can fill a tank in 18 hours and 22.5 hours respectively. If both are opened simultaneously, how much time will be taken to fill the tank?

Pipe A can fill the tank in 2 hours and pipe B can fill the tank in 3 hours. If both the pipes are open, in how many hours will the tank be filled?

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Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?

The correct option is C 3 hrsPart filled by A in 1 hour =15Part filled by B in 1 hour =110Part filled by C in 1 hour =130Part filled by (A+B+C) in 1 hour =15+110+130=13

Pipe A can fill a tank in $5$ hours, pipe B in $10$ hours and pipe C in $30$ hours. If all the pipes are open, in how many hours will the tank be filled?

The correct option is C $3$ hrs
Part filled by A in $1$ hour $= \frac{1}{5}$
Part filled by B in $1$ hour $= \frac{1}{10}$
Part filled by C in $1$ hour $= \frac{1}{30}$
Part filled by $(\begin{matrix} A + B + C \end{matrix})$ in $1$ hour $= \frac{1}{5} + \frac{1}{10} + \frac{1}{30} = \frac{1}{3}$