# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Time and Work Questions | Question 8

This question is from Time and Work – which is yet another important topic with regards to the CAT Syllabus. Enhance your online CAT preparation by solving CAT Previous Year Paper, and get a gist of the kind of questions in the CAT exam.

Question 8 : When they work alone, B needs 25% more time to ﬁnish a job than A does. They two ﬁnish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and ﬁnally B works alone to complete the remaining 5% of the job. In how many days can B alone ﬁnish the entire job?

1. 16
2. 22
3. 20
4. 18

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

Its given that B needs 25% more time than A
So, if Time taken by A = 4x days, Time taken by B = 5x days
A does half the work, So A works alone for 2x days --- (1)
A and B work for 4 days --- (2)
B works alone for $$frac{5𝑥}{20}$ = $\frac{𝑥}{4}$ days ---$3)

Total working days = 13
(1) + (2) + (3) = 13
2x + 4 + $$frac{𝑥}{4}$ = 13 we get, x = 4 So, B alone can do the work in 5 × 4 = 20 days The question is "When they work alone, B needs 25% more time to ﬁnish a job than A does. They two ﬁnish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and ﬁnally B works alone to complete the remaining 5% of the job. In how many days can B alone ﬁnish the entire job? B alone can finish the entire jon in 20 days" ##### Hence, the answer is 20 days 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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