Arithmetic

Time & Work

Medium

applied

Pipe A can fill a tank three times faster than pipe B. If both pipes A and B are running together, they can fill the tank in 12 minutes, then the time taken by pipe B alone to fill the tank is:

24 minutes

36 minutes

40 minutes

48 minutes

✅ Correct Option: 4

When pipe A fills the tank 3 times faster than pipe B, it means if pipe B takes some time to fill the tank, pipe A takes 1/3rd of that time.

Let pipe B alone take $B$ minutes to fill the tank.

Then pipe A alone takes $\dfrac{B}{3}$ minutes to fill the tank.

If a pipe takes $x$ minutes to fill a tank, it fills $\dfrac{1}{x}$ of the tank per minute.

Pipe B's rate $= \dfrac{1}{B}$ tank per minute

Pipe A's rate $= \dfrac{1}{B/3} = \dfrac{3}{B}$ tanks per minute

When both pipes run together, their rates add up:

Combined rate $= \dfrac{3}{B} + \dfrac{1}{B}$

Combined rate $= \dfrac{4}{B}$ tanks per minute

Both pipes together fill the tank in 12 minutes, so the combined rate $= \dfrac{1}{12}$ tanks per minute.

$\dfrac{4}{B} = \dfrac{1}{12}$

$4 \times 12 = B \times 1$

$B = 48$ minutes

Therefore, pipe B alone takes 48 minutes to fill the 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:

2026: 29 May Shift 2

One pipe can fill a tank five times as fast as another pipe. If, together, two pipes can fill the tank in 30 minutes, how much time does the faster pipe alone take to fill the tank ?

2026: 15 May Shift 1

Three pipes A, B, and C can fill a tank together in 10 hours. After working at it together for 2 hours, B is closed and A and C can fill the remaining part in 12 hours. The time in which B alone can fill the tank is

2026: 25 May Shift 1

Two pipes A and B can fill a tank in 10 minutes & 16 minutes respectively whereas a waste pipe can empty 3 litres per minute. All the three pipes working together can fill the tank in 8 minutes, then the capacity of the tank is:

2026: 18 May Shift 1

A pump can fill a tank with water in 2 hours. Because of a leak, it took $2\frac{1}{3}$ hours to fill the tank. In how many hours can the leak drain all the water from the tank?

2026: 12 May Shift 2

Match List-I with List-II

List-I	List-II
(A) If an inlet pipe can fill a tank in $x$ hours, but due to a leakage in the bottom it is filled in $y$ hours, then time (in hours) taken to empty the tank due to leakage	(I) $\dfrac{yz+zx-xy}{xyz}$
(B) If two inlet pipes take $x$ & $y$ hours respectively to fill the tank and the third outlet pipe takes $z$ hours to empty the tank. If all three of them are opened together, then the net part of the tank filled in 1 hour	(II) $\dfrac{1}{x}$
(C) If a pipe can fill the tank completely in $x$ hours, then the part of the tank filled in 1 hour	(III) $\dfrac{xy}{y-x}$
(D) If two inlet pipes can fill a tank in $x$ & $y$ hours. If both pipes are opened at the same time, then net part of the tank filled in 1 hour	(IV) $\dfrac{x+y}{xy}$

Choose the correct answer from the options given below:

Pipe A can fill a tank three times faster than pipe B. If both pipes A and B are running together, they can fill the tank in 12 minutes, then the time taken by pipe B alone to fill the tank is:

Solution

Related questions:

Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)