Quantitative Aptitude – Arithmetic – Pipes and Cisterns – A tank is fitted with pipes

Slot -1 – Quantitative Aptitude – Arithmetic – Pipes and Cisterns – A tank is fitted with pipes

A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in 6 hours when 6 filling and 5 draining pipes are on, but this time becomes 60 hours when 5 filling and 6 draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on? TITA

Answer: 10

Solution: Let each filling pipe alone can fill the tank in F hours and each draining tank alone can empty the tank in D hours. So
6/F-5/D=1/6———-1)
5/F-6/D=1/60———-2)
by solving the above equations, F=12 and D=15
So 2/F-1/D=2/12-1/15=1/10
Thus required time = 10/1 = 10 hours

Answer: 10

Other posts related to Quantitative Aptitude – Modern Maths

Permutation and Combination – Fundamental Principle of Counting
Permutation and Combination – Distribution of Objects
How to find Rank of a Word in Dictionary (With or Without Repetition)
Set Theory- Maximum and Minimum Values
How to solve questions based on At least n in Set Theory for CAT Exam?
Sequence and Series Problems and Concepts for CAT 2017 Exam Preparation
Basic Probability Concepts for CAT Preparation

---

---

---