CAT Quantitative Aptitude Questions | CAT Time and Work questions

CAT Questions | Time and work | Work Time

The question is from Time and Work: Making toys. Some details are given about A, B and C's efficiency. We need to find out A's efficiency to determine how many days he would take to complete 256 toys? Interesting Time and Work Question.

Question 23: A, B and C are to make 100 toys. In a day, they can together make 25 toys. A starts to work alone and makes 32 toys in some days. A then leaves and B and C works to make the remaining toys. It takes 8 days overall to make the 100 toys. How many days will it take for A to make 256 toys alone?

  1. 16 days
  2. 32 days
  3. 64 days
  4. 30 days

2IIM : Best Online CAT Coaching


2IIM's Online CAT Coaching
Get CAT Last Mile Prep Course for 799 /-
CAT Online Coaching


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2020
Starts Sat, November 2nd, 2019


Explanatory Answer

Method of solving this CAT Question from Pipes Cisterns and Work Time: How many days A took to complete 32 toys?

A, B and C together could make 100 toys in \\frac{100}{25}\\) = 4 days
i.e. A + B + C => 4 days
Total time taken when first A worked then B + C worked -> 8 days (i.e. 2 x 4)
Hence, it is as if A and (B+C) worked alternatively for 4 days each to complete the 100 days
So, A can make 32 toys in 4 days => In a day, A can make = \\frac{32}{4}\\) = 8 toys/day
To make 256 toys, A will take = \\frac{256}{8}\\) = 32 days

The question is "How many days will it take for A to make 256 toys alone?"

Hence, the answer is "32 days".

Choice B 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
Email: prep@2iim.com