# CAT 2020 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Quants Questions | Question 1

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In CAT 2019 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

Question 1 : In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is

1. 550
2. 475
3. 500
4. 450

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2021Online Batches Available Now!

Let the length of the race track be 'x' km.

By the time A finishes the race, B lags by 45km.
That is, in the same time, while A runs x kms, B runs (x-45) kms
Ratio of Speeds of A and B = $$frac{x}{x-45}$ By the time B finishes the race, C lags by 50km. That is, in the same time, while B runs x kms, C runs$x-50) kms
Ratio of Speeds of B and C = $$frac{x}{x-50}$ By the time A finishes the race, C lags by 90km. That is, in the same time, while A runs x kms, C runs$x-90) kms
Ratio of Speeds of A and C = $$frac{x}{x-90}$$Ratio of Speeds of A and B) × (Ratio of Speeds of B and C) = (Ratio of Speeds of A and C)
$$frac{x}{x-45}$ × $\frac{x}{x-50}$ = $\frac{x}{x-90}$ $\frac{x}{x-45}$ = $\frac{x-50}{x-90}$ If $\frac{a}{b}$ = $\frac{c}{d}$; then $\frac{a}{b}$ = $\frac{c-a}{d-b}$ Threfore, $\frac{x}{x-45}$ = $\frac{x-50 - x}{x-90 -$x-45$})
$$frac{x}{x-45}$ = $\frac{-50}{-45}$ = $\frac{10}{9}$ $\frac{x}{x-45}$ = $\frac{10}{9}$ 9x = 10x - 450 x = 450. or Ratio of Speeds of A and B = $\frac{10}{9}$ By the A covers x, B covers 0.9x Since A beats B by 45km, 0.1x = 45 x = 450. The question is "In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance$in km) over which the race has been conducted is"

##### Hence, the answer is, "450"

###### 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

##### 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 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com