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# CAT 2018 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Work and Time Questions | Question 22

Questions from Work and Time have a lot of variety, making it slightly difficult with regards to Arithmetic. However, many such questions from CAT Previous Year Paper

might not be as frightening as they seems to be. Here's such a question which might seem a bit tricky, but if you get the concept right, you are through! Solve more such interesting questions by visiting 2IIM's CAT Question Bank.

Question 22 : Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?

1. 12
2. 14.5
3. 13.5
4. 11

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##### Method of solving this CAT Question from Work and Time

Given that Ramesh and Ganesh can together complete a work in 16 days
After seven days of working together, Ramesh got sick and his efficiency fell by 30%.
To the original schedule of 16 days there are 9 more days and in this 9 days Ramesh fall short by 9 × 0.3x = 2.7x where x is the work done by Ramesh in a day
So the change = 2.7x (i.e. the gap because of drop in efficiency)
This 2.7x is compensated by one day of Ganesh + another 0.7 of Ramesh
2.7x = G + 0.7 x (Because the last day also he works with reduced efficiency)
2x = G
Hence Ganesh works twice as that of Ramesh.
If Ganesh had worked alone after Ramesh got sick means in the 7 days Ramesh would have completed $$frac{7}{48}$ of the task Ganesh on each day can do $\frac{1}{24}$ of the task Task to be completed by Ganesh is $\frac{41}{48}$ completely One day he can complete $\frac{1}{24}$ so $\frac{41}{48}$ × $\frac{24}{1}$ = 20.5 days If Ganesh had worked alone after Ramesh got sick, the no.of days needed for completing the remaining work is 20.5 – 7 = 13.5 days The question is "Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?" ##### Hence, the answer is 13.5 Choice C is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## 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? Mobile:$91) 99626 48484 / 94459 38484
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