Arithmetic

Time & Work

Medium

applied

Inlet Pipe A can fill a tank in 30 minutes, and outlet pipes B and C can empty the tank in 2 hours each. If all 3 pipes operate together, the tank will be filled in:

1 hour

2 hours

3 hours

Tank won't be filled

✅ Correct Option: 1

Pipe A (inlet) fills the tank in 30 minutes.

Pipes B and C (outlets) each empty the tank in 2 hours = 120 minutes.

The rate for each pipe represents the fraction of the tank filled or emptied per minute.

Pipe A's rate = $\frac{1}{30}$ tank per minute (filling)

Pipe B's rate = $\frac{1}{120}$ tank per minute (emptying)

Pipe C's rate = $\frac{1}{120}$ tank per minute (emptying)

When all pipes operate together, the combined rate is:

Combined rate = $\frac{1}{30} - \frac{1}{120} - \frac{1}{120}$

Converting to a common denominator of 120:

$\frac{1}{30} = \frac{4}{120}$

Combined rate = $\frac{4}{120} - \frac{1}{120} - \frac{1}{120}$

Combined rate = $\frac{4 - 1 - 1}{120}$

Combined rate = $\frac{2}{120}$

Combined rate = $\frac{1}{60}$ tank per minute

Time to fill the tank = $\frac{1 \text{ tank}}{\frac{1}{60} \text{ tank per minute}}$

Time = $60$ minutes

Time = $1$ hour

The tank will be filled in 1 hour.

2026: 19 May Shift 1

Three taps A, B and C can fill a tank in 12 minutes, 15 minutes and 20 minutes respectively. If tap A is opened all the time while tap B and C are opened for 1 minute each alternately such that tap B opened first, then the time taken to fill the tank is :

2026: 22 May Shift 1

A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe ,then the time required by the first pipe to fill the tank alone is :

2024: 16 May Shift 1

Two pipes A and B together can fill a tank in $40$ minutes. Pipe A is twice as fast as pipe B. Pipe A alone can fill the tank in :

2026: 26 May Shift 2

Two pipes A and B fill a tank in 12 minutes and 15 minutes respectively. If both the pipes are opened simultaneously and pipe A is closed after 3 minutes, then how much more time will it take to fill the tank with pipe B?

2025: 22 May Shift 2

Two pipes P and Q can fill a tank in 26 minutes and 52 minutes respectively. Both the pipes are opened together for some time and then pipe P is closed. If the tank is filled in 26 minutes, then after how many minutes pipe P is closed?

2025: 15 May Shift 2

Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Both pipes A and B are opened together for some time and pipe B is turned off. If the tank is filled in 15 minutes, then after how many minutes pipe B is turned off?

Inlet Pipe A can fill a tank in 30 minutes, and outlet pipes B and C can empty the tank in 2 hours each. If all 3 pipes operate together, the tank will be filled in:

Solution

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