# CAT 2020 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Quants Questions | Question 4

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 4 : A train travelled at one-thirds of its usual speed, and hence reached the destination 30 minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for 5 minutes but then stopped for 4 minutes for an emergency. The percentage by which the train must now increase its usual speed so as to reach the destination at the scheduled time, is nearest to

1. 58
2. 67
3. 50
4. 61

## Best CAT Coaching in Chennai

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

Since speed is reduced to $$frac{1}{3}$ rd, New speed = $\frac{x}{3}$ Since the speed is one-third, time taken will be tripled. T = 3t This 3t is after the scheduled time, So extra 2t = 30 mintues t = 15 minutes Train travels at x km/hr takes 15 minutes and Train travels at $\frac{x}{3}$ km/hr takes 45 minutes So, the train usually takes 15 minutes to cover the distance. It travels 5 minutes at the usual speed. That is, it travels $\frac{1}{3}$ rd of the time at the usual speed. So it covers $\frac{1}{3}$ rd of the distance in 5 minutes. To reach it's destination in the on time, the train has to travel the remaining $\frac{2}{3}$ rds of the distance in 10 minutes. Since the train halts for 4 minutes, it should now cover the $\frac{2}{3}$ rds of the distance in 6$10 - 4) minutes.