MBAP logo

Vimla starts for office every day at 9 am - Quantitative Aptitude - TSD

CAT 2020 – The CAT QA section has grown increasingly difficult since 2015. In order to tackle the tougher CAT Level QA questions for the CAT Exam, it is important to understand the basics of CAT. To obtain a great CAT score, make use of MBAP Free Study material with detailed solutions and video explanations. Check out MBAP free Mock test to take these questions in a test format for free.

The question below is from previous year CAT question from CAT 2020 exam comes from CAT TSD: Vimla starts for office every day at 9 am

Find out by answering this question which tests an aspirant’s Quantitative Ability Skills.

You may also find remaining question solution of CAT 2020, Slot 3 by searching the question in the search bar.

CAT 2020 - Slot 3 - Quantitative Aptitude - TSD- Question 22 - Vimla starts for office every day at 9 am

Q. 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

22. B.

Vimala’s speed has decreased from 40kmph to 35 kmph. That means her current speed is 35/40 of the original Speed. That means, her current speed is 7/8 th of the original speed. Therefore, the time taken will be 8/7 th of the original time taken.

 

Since she is 6 minutes late when travelling at 35kmph, 1/7th of the original time taken is 6 minutes.

Therefore the total time taken originally is 7 × 6 = 42 minutes.

1/3 rd of the original time taken = 42/3 = 14 minutes.

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.

 

So, to reach the Destination on time, Vimala, must cover the same 1/3 rd of the Distance in 20 minutes instead of 14 minutes.

That means she has to 20/14 of the initial time.

Which is 10/7 of the original time

This implies that, in order to reach at the same point of time. The speed had to 7/10 or 70% of the original speed.

 

So, she has to travel at 70% of 40kmph = 28kmph.

 

Past Year Question Paper & Solutions

Counselling Session
By IIM Mentor

Reach Us

primary Menu

Inspiring Education… Assuring Success!!
Ⓒ 2020 – All Rights Are Reserved

Free Content !!!
Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID
Free Content !!!
Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID