Arithmetic

Time & Work

Medium

applied

Pipe A can fill the tank 3 times faster than pipe B. If both pipes A and B running together can fill the tank in 15 minutes, then the time taken by B alone to fill the tank is:

42 minutes

72 minutes

60 minutes

48 minutes

✅ Correct Option: 3

Let Pipe B take $x$ minutes to fill the tank alone.

Since Pipe A is 3 times faster than Pipe B, Pipe A takes $\frac{x}{3}$ minutes to fill the tank alone.

The rate of Pipe B is $\frac{1}{x}$ tank per minute.

The rate of Pipe A is $\frac{3}{x}$ tank per minute.

When both pipes work together, their rates add up:

Combined rate $= \frac{1}{x} + \frac{3}{x}$

Combined rate $= \frac{4}{x}$ tank per minute

Both pipes together fill the tank in 15 minutes, so the combined rate is $\frac{1}{15}$ tank per minute.

$\frac{4}{x} = \frac{1}{15}$

$4 \times 15 = x \times 1$

$x = 60$

Therefore, Pipe B alone takes 60 minutes to fill the tank.

2025: 3 June Shift 2

Pipe A and B can fill a tank in 20 hours and 25 hours respectively, and pipe C can empty the full tank in 40 hours.If all the pipes are opened together, then how much time will be needed to make the tank full?

2026: 21 May Shift 1

A pipe can fill a tank in 6 hours. Due to a leak in its bottom, it is filled in 7 hours. If the tank is full, then the time it will take to empty it because of the leak is:

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: 30 May Shift 1

A pump can fill a water tank in 4 hours but because of the leakage in the tank it took $4\frac{1}{4}$ hours to fill the tank. How much time will it take for the leakage to drain all the water of the full tank?

2026: 30 May Shift 2

Three pipes A, B, and C can fill a tank together in 2 hours. Pipes B and C take 3 hours to fill the tank, while pipes A and C take 4 hours to fill the tank. Which of the following statements are correct?

(A) Pipe A alone takes 6 hours to fill the tank.

(B) Pipe B alone takes 5 hours to fill the tank.

(D) Pipe C alone takes 12 hours to fill the tank.

Choose the correct answer from the options given below:

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?

Pipe A can fill the tank 3 times faster than pipe B. If both pipes A and B running together can fill the tank in 15 minutes, then the time taken by B alone to fill the tank is:

Solution

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