MBAP logo

When they work alone, B needs 25% | Quantitative Aptitude - Arithmetic – Time and Work

CAT 2018 – 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.

You may also find remaining question solution of CAT 2018, Slot-1 by searching the question in the search bar.

 

The question below is from previous year CAT question from CAT 2018 exam comes from CAT Time and Work: When they work alone, B needs 25% . Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2018 - Slot-1 - Time and Work - Question-4 - When they work alone, B needs 25%

Q. 4:When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?

1. 20

2. 16

3. 22

4. 18

ratio of time taken by A and B to complete the work alone = 1: 1.25 = 4x : 5x

 

As A complete half of the work alone  and B complete 5% of the work alone, so they will complete remaining 45% of work in 4 days .

 

So time taken by them to complete the whole work together = 4 * 100/45 = 80/9

 

Or (4x*5x)/(4x+5x) = 80/9

 

x = 4

 

Thus time taken by B to complete the work alone = 5x = 20 days

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