# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Speed Time Distance Questions | Question 12

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Question 12 : A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B ?

1. 364
2. 378
3. 380
4. 388

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### Explanatory Answer

##### Method of solving this CAT Question from Speed Time Distance

Given that motorbike leaves point A at 1 pm and moves towards point B.
Car leaves at point B at 2 pm and moves towards point A where the speed is equal to double that of motor bike.
Both meet at 3.40 pm at a point which is 168 km away from A
Bike travelled from 1 to 3:40 pm = $$frac{8}{3}$ hrs at a speed of x Car travelled from 2 to 3:40 pm = $\frac{5}{3}$ hrs at a speed of 2x $\frac{8}{3}$ × x = 168 $\frac{5}{3}$ × 2x = ? This is in the ratio 8 : 10 = 168 : ? ⟹ 4 : 5 = 168 : ? ⟹ $\frac{168 × 5}{8}$ = 210 A : B = 4 : 5 = 168 : 210 The distance, in km, between A and B is 168 + 210 = 378 kms The question is "A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B ?" ##### Hence, the answer is 378 Choice B is the correct answer ###### 🎉 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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