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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.

(C) Pipe B alone takes 4 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:

Solution

✅ Correct Option: 2

Rates: A+B+C=12A+B+C=\frac12, B+C=13B+C=\frac13, A+C=14A+C=\frac14.

So A=12−13=16A=\frac12-\frac13=\frac16 (6 hours) and B=12−14=14B=\frac12-\frac14=\frac14 (4 hours).

Then C=12−16−14=112C=\frac12-\frac16-\frac14=\frac{1}{12} (12 hours). Hence (A), (C) and (D) are correct.

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