CAT Quantitative Aptitude Questions | CAT Time and Work questions

CAT Questions | Time and work | Work Time

The question is from Time and Work: Mining. A classic Time and Work Question!! What happens when things do not go as planned?

Question 18: A mining team made a plan to mine up to 300 m in a certain number of days. After working as per plan for 5 days, they added new members to the team and hence could mine 5 m more per day. In this way, 4 days before the planned date, they had mined 295 m. How many meters of mining was initially planned for each day?

  1. 30 m
  2. 12.5 m
  3. 15 m
  4. 7.5 m

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: We can do the trial and error.

Given, 295 m was mined out of which first 5 days – planned. Using option analysis:
a) 30 * 5 + (30 + 5) * (\\frac{300}{30}\\) – 5 – 4) = 150 + 35 * 1 = 185 ≠ 295
b) 12.5 * 5 + 17.5 * (\\frac{300}{12.5}\\) – 5 – 4) = 62.5 + 17.5 * 15 = 325 ≠ 295
c) 15 * 5 + 20 * (\\frac{300}{15}\\) – 5 – 4)1 = 75 + 20 * 11 = 295

The question is "How many meters of mining was initially planned for each day?"

Hence, the answer is "15 m".

Choice C 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
Email: prep@2iim.com