CAT Exam  >  CAT Questions  >  A man can complete a job in 40 days working 6... Start Learning for Free
A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)?
Most Upvoted Answer
A man can complete a job in 40 days working 6 hours a day. He started ...




Analysis of the Problem:


- Let's start by calculating the work efficiency of each person. The first person can complete the job in 40 days working 6 hours a day, which means he can complete 1/240th of the job in 1 hour.
- The second person can complete the job in half the time, so his work efficiency is double that of the first person, i.e., he can complete 1/120th of the job in 1 hour.
- The third person can complete the job thrice as fast as the first person, so his work efficiency is three times that of the first person, i.e., he can complete 1/80th of the job in 1 hour.

Calculating the Total Work:


- Since the first person works for 6 hours a day, the total work done by him in a day is 6 * 1/240 = 1/40th of the job.
- The second person works for 8 hours a day (as per the problem statement), so the total work done by him in a day is 8 * 1/120 = 1/15th of the job.
- Similarly, the third person works for 8 hours a day, so the total work done by him in a day is 8 * 1/80 = 1/10th of the job.

Calculating the Days to Complete the Work:


- Let's assume the total work is represented by 1 unit.
- On the first day, the first person completes 1/40th of the job.
- On the second day, the first person completes another 1/40th, and the second person completes 1/15th of the job.
- On the third day, the first person completes 1/40th, the second person completes 1/15th, and the third person completes 1/10th of the job.
- This process continues until the entire work is completed.

Conclusion:


- By calculating the work done each day by each person and adding it up until the total work is completed, we can determine the number of days it will take to complete the job.


Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)?
Question Description
A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)?.
Solutions for A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)? defined & explained in the simplest way possible. Besides giving the explanation of A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)?, a detailed solution for A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)? has been provided alongside types of A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)? theory, EduRev gives you an ample number of questions to practice A man can complete a job in 40 days working 6 hours a day. He started the work and on the second day, another person who can complete the job in half the time as the first person joined him. On the third day, a person who can complete the job thrice as fast as the first person joined them. This process continues till the entire work is completed. After how many days from the start will the work be completed (Every day consists of 8 hours of work)? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev