# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Pipes and Cisterns Questions | Question 8

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Question 8 : A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full ?

1. 20
2. 30
3. 40
4. 45

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### Explanatory Answer

##### Method of solving this CAT Question from Pipes and Cisterns

Given that the inlet pipe fills the empty tank in 8 hours.
Rate of Inlet pipe = $$frac{1}{8}$ If outlet pipe is open then the inlet pipe fills the empty tank in 10 hrs. Rate of Inlet + Outlet pipe = $\frac{1}{10}$ We have to find the time taken for the outlet pipe to empty or half full the full tank. Rate of Outlet pipe = $\frac{1}{8}$ - $\frac{1}{10}$ = $\frac{5}{40}$ - $\frac{4}{40}$ Rate of Outlet pipe = $\frac{1}{40}$ For emptying the full tank the outlet pipe takes 40 hours. Hence for emptying the half tank the outlet pipe takes 20 hours. The question is "A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full ?" ##### Hence, the answer is 20 Choice A is the correct answer ###### 🎉 New Year offer! Fabulous 4,000 off on CAT Online Courses. Valid until 15th April ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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