# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Speed Time Distance Questions | Question 17

Here's a problem involving cars: you guessed it right, the concept is Time, Speed and Distance, which is a major topic in the CAT Syllabus. Solve this not-so-difficult question and check out CAT Previous Year Paper for more such ones. If you find such problems tough and unable to solve, enroll yourself to the Online Classes for CAT offered by 2IIM.

Question 17 :Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is:[TITA]

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now!

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

Let us take the distance AP = x and BP = 3x
Itโs also given that SpeedCar-2 = $$frac{1}{2}$ SpeedCar-1 S1 = S S2 = $\frac{S}{2}$ Car 2 takes one hour more than Car 1 T2 = t minutes T2 =$t + 60) minutes

We know that Time = $$frac{Distance}{Speed}$ So TCar-1 = $\frac{x}{S}$ TCar-2 = $\frac{3๐ฅ}{\frac{S}{2}}$ = $\frac{6x}{S}$ TCar-1 = t TCar-2 = 6t We know, TCar-2 takes$t + 60) minutes
6t = t + 60
5t = 60
t = 12 minutes

The question is "Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is:"

##### Hence, the answer is 12 minutes.

Choice C is the correct answer.

###### CAT Coaching in ChennaiCAT 2024

Classroom Batches Starting Now! @Gopalapuram and @Anna nagar

###### Best CAT Coaching in Chennai

Attend a Demo Class

## 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
WhatsApp: WhatsApp Now
Email: info@2iim.com