CAT Exam  >  CAT Questions  >  Somesh, Tarun and Nikhil can complete a work ... Start Learning for Free
Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?
  • a)
    25 1/7
  • b)
    50 1/7
  • c)
    35 5/7
  • d)
    40 5/7
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and ...
Let the duration in which the will be completed be 't' days
Work done by Nikhil = 1/15  ( Since He worked for 5 days)
Somesh left 2 days early that means Somesh must have worked for 't-2' days
Work done by Somesh = (t-2) * 1/45
Similarly work done by Tarun = t*1/60
View all questions of this test
Most Upvoted Answer
Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and ...
Given information:
- Somesh can complete the work in 45 days
- Tarun can complete the work in 60 days
- Nikhil can complete the work in 75 days
- Nikhil left after working for 5 days
- Somesh left 2 days before the completion of the work

Approach:
- Let's assume the total work is 300 units (LCM of 45, 60 and 75)
- Find the per day work done by each person
- Calculate the total work done by the three people in the given time frame
- Find the remaining work after Somesh left
- Calculate the time required to complete the remaining work

Calculation:
- Somesh's per day work = 300/45 = 6.67 units/day
- Tarun's per day work = 300/60 = 5 units/day
- Nikhil's per day work = 300/75 = 4 units/day
- Total work done in 5 days = (6.67+5+4) x 5 = 82.35 units
- Total work done by Somesh and Tarun in the remaining days = (6.67+5) x (x-2) = 300 - 82.35
- Solving the above equation, x = 25.14 days
- Therefore, the work will be completed in 25 1/7 days (option A)

Final Answer: The work will be completed in 25 1/7 days.
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

Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer?
Question Description
Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer?.
Solutions for Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer? 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 Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?a)25 1/7b)50 1/7c)35 5/7d)40 5/7Correct answer is option 'A'. Can you explain this answer? 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