A water vessel is one – fifth full. Tube X can fill a vessel in 5 minutes and tube Y can empty it in 3 minutes. If both the tubes are open, how long will it take to empty or fill the vessel completely?

3 min

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1.5 min

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7.5 min

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9 min

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Solution

The correct option is B
1.5 min

The rate at which tank is emptied is more than the rate at which tank is filled.

Both the pipes are open= $\frac{5 - 3}{5 \times 3} = \frac{2}{15}$ .

Water level in the tank is $\frac{1}{5}$ .

Therefore $\frac{1}{5} \times \frac{15}{2}$ = 1.5 minutes

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Similar questions

A water vessel is one – fifth full. Tube X can fill a vessel in 5 minutes and tube Y can empty it in 3 minutes. If both the tubes are open, how long will it take to empty or fill the vessel completely?

Q. A water tank is

\frac{2}{5}

th full. Pipe

A

can fill the tank in 10 minutes and pipe

B

can empty it in

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minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

Q. How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?
I. A can fill the tank in

6

minutes.
II. B can empty the full tank in

8

minutes.

A water tank is $\frac{2}{5}$ th full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.
What is the time taken by the tank to completely fill / empty the tank, if both the pipes are open?

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A water vessel is one – fifth full. Tube X can fill a vessel in 5 minutes and tube Y can empty it in 3 minutes. If both the tubes are open, how long will it take to empty or fill the vessel completely?

The correct option is B 1.5 min The rate at which tank is emptied is more than the rate at which tank is filled. Both the pipes are open=5−35×3 =215. Water level in the tank is 15. Therefore 15×152 = 1.5 minutes

The correct option is B
1.5 min

The rate at which tank is emptied is more than the rate at which tank is filled.

Both the pipes are open= $\frac{5 - 3}{5 \times 3} = \frac{2}{15}$ .

Water level in the tank is $\frac{1}{5}$ .

Therefore $\frac{1}{5} \times \frac{15}{2}$ = 1.5 minutes