CAT Quantitative Aptitude Questions | CAT Time and Work questions

CAT Questions | Time and work | Work Time

The question is from Time and work: Fetching water. Filling a tank manually, how hard can it be? 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.

Question 20: Bibhor takes 3 hours to fetch as much water as Ahmed can fetch in 2 hours. Deepak takes 5 hours to fetch as much water as Bibhor can fetch in 4 hours. A tank takes 20 hours to fill if all work together. What time would Bibhor take to fill the tank alone?

  1. 50 hrs
  2. 56 hrs
  3. 77 hrs
  4. 66 hrs

2IIM : Best Online CAT Coaching

Try 5 full classes for free

Best CAT Coaching in Chennai

Batches filling fast.
Starts Sat, May 25th, 2019

Explanatory Answer

Method of solving this CAT Question from Pipes Cisterns and Work Time: A small assumption would do the job!

Let the work done by Ahmed be 60 (LCM of 2,3,4,5)
So, work done per hour by:
Ahmed – \\frac{60}{2}\\) = 30
Bibhor – \\frac{60}{3}\\) = 20
Bibhor in 4 hours – 20 x 4 = 80
Deepak – \\frac{80}{5}\\) = 16
Therefore, total work done in an hour = 30 + 20 + 16 = 66
If all 3 work for 20 hours, total work done = 66 * 20
If Bibhor alone has to work, time taken to do 66 * 20 of work = 66 * \\frac{20}{20}\\) (work done by Bibhor in 1 hour)
= 66 hours

The question is "What time would Bibhor take to fill the tank alone?"

Hence, the answer is "66 hrs".

Choice D 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,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now