Quantitative Aptitude Ques 2188

Question: A water tank has three taps A, B and C. Tap A, when opened, can fill the water tank alone in 4 h. Tap B, when opened, can fill the water tank alone in 6 h and tap C, when opened, can empty the water tank alone in 3 h.

If taps A, B and C are opened simultaneously, then how long will it take to fill the tank completely?

Options:

A) 10 h

B) 8 h

C) 18 h

D) 12 h

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Part of the tank filled in 1 h when all the taps are opened $ =\frac{1}{4}+\frac{1}{6}-\frac{1}{3}=\frac{3+2-4}{12}=\frac{1}{12} $ Hence, the tank will be filled in 12 h.