# CAT 2023 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 11

CAT 2023 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 11 : Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, is

1. 58.8
2. 64.4
3. 67.2
4. 61.6

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### Explanatory Answer

The speeds of Ravi and Ashok converted to meters per second are $40 $times $frac { 5 } { 18 } = \frac { 100 } { 9 } \mathrm {~m} / \mathrm { s }$ and $50 \times \frac { 5 } { 18 } = \frac { 125 } { 9 } \mathrm {~m} / \mathrm { s }$ respectively. Let M be the meeting point between Ravi and Ashok. The relative speed between Ravi and Ashok = $\frac { 100 } { 9 } + \frac { 125 } { 9 } = \frac { 225 } { 9 } \mathrm {~m} / \mathrm { s }$ So they meet exactly after $\frac { 225 } { \frac { 225 } { 9 } } = 9$ seconds. The distance covered by R in 9 seconds = $\frac { 100 } { 9 } \times 9 = 100 \mathrm {~m}$. So, for all three of them to meet at the same time Vijay has to cover 54 + 100 = 154m in 9 seconds. ∴ The speed of Vijay = $\frac { 154 } { 9 } \mathrm {~m} / \mathrm { s } = \frac { 154 } { 9 } \times \frac { 18 } { 5 } = 61.6 \mathrm { kmph }$ The question is " Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, is " ##### The answer is '61.6' Choice D 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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