# CAT Quantitative Aptitude Questions | CAT Time and Work questions

###### CAT Questions | Time and work | Work Time
CAT Questions

The question is from Time and Work: Typing pages. Some details about a completed task are given and we need to determine who is efficient among them?

Question 22: A certain number of pages need to be typed. A, B and C are assigned to do this job. However, C leaves after 4 days when 40% of the job was complete. In this way, it takes 13 days to finish the job. Also, B can type twice as fast as A. How much would the fastest worker take to type the entire set of pages alone?

1. 22.5 days
2. 45 days
3. 30 days
4. 20 days

## Best CAT Coaching in Chennai

### Explanatory Answer

##### Method of solving this CAT Question from Pipes Cisterns and Work Time: What fraction of work done by all three and done by the two?

A and B take 9 days to complete the remaining 60% of the job.
Therefore, in one day A and B can complete – $$frac{60}{9}\\$ = $\frac{20}{3}\\$ of the job Since B is twice as fast as A, B can finish = $\frac{20}{3}\\$ * $\frac{2}{3}\\$ = $\frac{40}{9}\\$ of the job in a day A can finish = $\frac{20}{3}\\$ * $\frac{1}{3}\\$ = $\frac{20}{9}\\$ of the job in a day In the first 4 days. A and B would have finished = $\frac{20}{3}\\$ * 4 = $\frac{80}{3}\\$ of the job Therefore, C would have finished = 40 % - $\frac{80}{3}\\$ = $\frac{40}{3}\\$ of the job in 4 days So, in a day C finishes = $\frac{40}{12}\\$ of the job Thus, clearly B is the fastest among the three workers The question is "How much would the fastest worker take to type the entire set of pages alone?" ##### Hence, the answer is "22.5 days". Choice A is the correct answer. ###### Nail CAT 2020 with 2IIM. 2,500 Off on Test Dojo and Part courses. Signup Now ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 30,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in ChennaiPrices slashed by Rs 5000/- Attend a Demo Class ## CAT Online Coaching | CAT Arithmetic Videos On YouTube #### Other useful sources for Arithmetic Questions | Pipes Cisterns; Time and Work Sample Questions ##### 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