# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Races Questions | Question 2

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Question 2 : In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C? [TITA]

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##### Method of solving this CAT Question from Races

Given that in a 10 km race A , B and C Each running at uniform speed

If A beats B by 1km i.e. if A has reached 10 km B has reached only 9 km.

Similarly B beats C by 1 this means when B is at the end point i.e, if B has reached 10 km C has reached only 9 km.

We have to find by how many metres does A beat C.
This can be found by simple ratio concept.
If A runs 10 km, B runs 9 km and also when B runs 9 km C runs $$frac{9 × 9}{10}$ = 8.1 That is when A runs 10 km C runs 8.1 km or in other words C lags behind A by 1.9 km which is equal to 1900 metres. The question is "In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C? [TITA]" ##### Hence, the answer is 1900 ###### 🎉 New Year offer! Fabulous 4,000 off on CAT Online Courses. Valid until 15th April ###### 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
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