CAT Quantitative Aptitude Questions | CAT Time and Work questions

CAT Questions | Time and work | Pipes and Cisterns

The question is from Pipes and Cisterns: Pipe leakage. If there is a leakage in a pipe, how long will it take that pipe to drain the full tank? Mathematicians are creatures of habit. This topic has been called Pipes and Cisterns because someone named it like it long ago. Pipes and Tanks would be much better - at least makes it sound like wartime. Classic Pipes and Cisterns Question.

Question 15: A Two pipes can fill a tank in 12 hrs and 18 hrs respectively. The pipes are opened together but due to a pipe leakage , it takes 48 minutes extra to fill the tank, If the tank is full, what time will it take to completely empty due to the leakage.

  1. 72 hrs
  2. 84 hrs
  3. 96 hrs
  4. 112 hrs

Best CAT Online Coaching
Try upto 40 hours for free
Learn from the best!

2IIM : Best Online CAT Coaching.

Best CAT Coaching in Chennai

CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!

Explanatory Answer

Method of solving this CAT Question from Pipes Cisterns and Work Time:

Time taken to fill the tank completely without leakage = \\frac{1}{(1/12) + (1/18)}\\) hrs
= \\frac{1}{(9 + 6)/108}\\) = \\frac{108}{15}\\) = 7 hours and 12 minutes
Given, it takes 48 minutes extra with the leakage. So, total time taken = 8 hours
= \\frac{1}{(1/12) + (1/18) - (1/x)}\\) = 8 (Where, x is the time taken by the leakage to completely empty the tank)
= \\frac{1}{12}\\) + \\frac{1}{18}\\) - \\frac{1}{8}\\) = \\frac{1}{x}\\)
= \\frac{(9 + 6 - 13.5)}{108}\\) = \\frac{1}{x}\\)
= x = \\frac{108}{1.5}\\) = 72 hours

The question is "what time will it take to completely empty due to the leakage."

Hence, the answer is "72 hrs".

Choice A is the correct answer.

CAT Online Coaching | CAT Arithmetic Videos On YouTube

Other useful sources for Arithmetic Questions | Pipes Cisterns; Time and Work Sample Questions

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT

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
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now