Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Pipes and Cisterns

Question:

Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 8 hours. Pipe A, B and C together can fill the same tank in 12 hours. Then which of the following statements is true for pipe C?

Options:

It can fill the tank in 4 hours 40 minutes

It can fill the tank in 4 hours 48 minutes

It can empty the tank in 4 hours 48 minutes

It can empty the tank in 4 hours 40 minutes

Correct Answer:

It can empty the tank in 4 hours 48 minutes

Explanation:

A+ = 6 hrs, B+ = 8 hrs, A + B + C = 12 hrs,

⇒ A + B + C = 2,   (Efficiency)

⇒ 4 + 3 + C = 2,

⇒ 7 + C = 2,

⇒ C = -5,

 Time required by C to empty full tank = \(\frac{24}{5}\) = \( {4 }_{5 }^{4 } \) hrs = 4 hr 48 minutes.

Therefore, statement 3 is true,