# CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

###### CAT Questions | Averages | Average Speed

The question is from CAT Ratio, Mixtures and Averages. When we find the average of the speed, we don't use simple arithmetic mean. Why we can't use that? CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2020.

Question 39: Ram travels half of his journey by train at 80 kmph, half of the remaining with bus at 40 kmph and the rest with cycle at 20 kmph. Find his average speed during the entire journey.

1. 33.33 kmph
2. 40 kmph
3. 50 kmph
4. 45 kmph

## Best CAT Coaching in Chennai

### Explanatory Answer

##### Method of solving this CAT Question from Ratio, Mixtures and Averages: Why do we use harmonic mean here?

Let the distance travelled be d.

Average Speed = $$frac{Total Distance Travelled}{Total time taken}\\$ =$\frac{d}{\frac{d}{2}*80}\\$ + $\frac{d}{4*40}\\$ + $\frac{d}{4*20}\\$ = $\frac{1}{$1+1+2$/160}$ = $\frac{160}{4}\\$ = 40 Kmph The question is "Find his average speed during the entire journey." ##### Hence, the answer is "40 kmph". Choice D is the correct answer. ###### Fabulous 5,000 off on CAT Online Courses. Valid until 16th May ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### 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