ABC26GN3401 · Pipes and Cisterns

Subject: General Aptitude · Chapter: Pipes and Cisterns · Exam: · Marks: · Difficulty:

A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $\frac{3}{4}$ of the cistern is already full of water?
(a)$3 \frac{1}{3}$ hours
(b)6 hours
(c)10 hours
(d)$13 \frac{1}{3}$ hours
Answer
Answer (as printed): C
Explanation
Net part emptied in one hour =  −  = .  5 8  40 3 3 3 40  ∴ : : : 1 : x or x =  × 1 ×  = 10 hrs. 40 4  4 3  So, the cistern will be emptied in 10 hrs. 2 2 1 2 5

Explanation as extracted from the printed page; notation may be imperfect.

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