# CAT 2020 Question Paper | Quants Slot 3

###### CAT Previous Year Paper | CAT Quants Questions | Question 22

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 22 : Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time is

1. 27
2. 28
3. 29
4. 26

## Best CAT Coaching in Chennai

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

Vimala's speed has decreased from 40kmph to 35 kmph. That means her current speed is $$frac{35}{40}$ of the original Speed. That means, her current speed is $\frac{7}{8}$ th of the original speed. Therefore, the time taken will be $\frac{8}{7}$ th of the original time taken. Since she is 6 minutes late when travelling at 35kmph, $\frac{1}{7}$th of the original time taken is 6 minutes. Therefore the total time taken originally is 7 × 6 = 42 minutes. $\frac{1}{3}$ rd of the original time taken = $\frac{42}{3}$ = 14 minutes. $\frac{1}{3}$ rd of the total distance is generally covered in 14 minutes. Currently the same distance is to be covered in$42 - 14 - 8 = 20) minutes.