Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Pipes and Cisterns

Question:

A pipe can fill a tank in 56 hours, but it takes 16 hours more due to a leak in its bottom. In how much time (in hours) can the leak alone empty $83\frac{1}{3}$% of the tank?

Options:

126

210

252

105

Correct Answer:

210

Explanation:

A+ = 56 hrs, A + B = 72 hrs,

⇒ A + B = 7  (Efficiency)

⇒ 9 + B = 7,

⇒ B = -2,

Time required for B to empty 83.33% of tank = 83.33% x 504 = 420 units,

⇒ \(\frac{420}{2}\) = 210 hrs.