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CAT Exam  >  CAT Questions  >   Ravi can complete a job in 40 days while Shy... Start Learning for Free
Ravi can complete a job in 40 days while Shyam and Ram can complete the work the 60 and 120 days respectively. Ravi starts working on August 3 (Monday) and works all days of the week. Ram and Shyam help him on every Saturday and Sunday. On what day is the work finished?
  • a)
    4 September
  • b)
    3 September
  • c)
    5 September
  • d)
    7 September
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Ravi can complete a job in 40 days while Shyam and Ram can complete t...
When all three of them work together, the fraction of the total work finished in one day equals
So, in a given week starting from Monday, the fraction of the total work finished is
After four weeks, the fraction of the total work finished is 9/10
So, at the start of 31 August, 9/10 amount of work is finished.
Ravi takes 4 days to finish the remaining 1/10 work and hence the work is finished on 3 September (Thursday).
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Ravi can complete a job in 40 days while Shyam and Ram can complete t...
To solve this problem, we need to find out how many days it will take for Ravi, Shyam, and Ram to complete the job together.

Let's find out how much work Ravi can do in 1 day. Since he can complete the job in 40 days, he can do 1/40th of the job in a day.

Similarly, Shyam can complete 1/60th of the job in a day, and Ram can complete 1/120th of the job in a day.

To find out how much work they can do together in a day, we add up their individual rates:
1/40 + 1/60 + 1/120 = 1/24

This means that together, they can complete 1/24th of the job in a day.

Now, let's find out how many days it will take for them to complete the entire job.
The work is started on August 3, which is a Monday. Let's count the number of days from August 3 until the job is completed.

- August 3 to August 7: 5 days (Ravi works all days of the week)
- August 8 and 9: 2 days (Ravi works on Saturdays and Sundays)
- August 15 and 16: 2 days (Ravi works on Saturdays and Sundays)
- August 22 and 23: 2 days (Ravi works on Saturdays and Sundays)
- August 29 and 30: 2 days (Ravi works on Saturdays and Sundays)
- September 5 and 6: 2 days (Ravi works on Saturdays and Sundays)

So far, we have counted 15 days.

Now, let's calculate how much work they can do in 15 days:
1/24 * 15 = 15/24

This means that in 15 days, they can complete 15/24th of the job.

To find out how many more days it will take to complete the remaining work, we subtract 15/24 from 1 (since we want to find the remaining work):
1 - 15/24 = 9/24

Now, let's calculate how many days it will take to complete the remaining work:
(9/24) / (1/24) = 9

This means that it will take 9 more days to complete the remaining work.

Adding the 9 days to the 15 days we have already counted, we get a total of 24 days.

Since the work started on August 3, it will be completed on August 26.

However, August 26 is not one of the given answer options. The closest option is September 3, which is 8 days later.

Therefore, the correct answer is option 'B' - 3 September.
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Ravi can complete a job in 40 days while Shyam and Ram can complete the work the 60 and 120 days respectively. Ravi starts working on August 3 (Monday) and works all days of the week. Ram and Shyam help him on every Saturday and Sunday. On what day is the work finished?a)4 Septemberb)3 Septemberc)5 Septemberd)7 SeptemberCorrect answer is option 'B'. Can you explain this answer?
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Ravi can complete a job in 40 days while Shyam and Ram can complete the work the 60 and 120 days respectively. Ravi starts working on August 3 (Monday) and works all days of the week. Ram and Shyam help him on every Saturday and Sunday. On what day is the work finished?a)4 Septemberb)3 Septemberc)5 Septemberd)7 SeptemberCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ravi can complete a job in 40 days while Shyam and Ram can complete the work the 60 and 120 days respectively. Ravi starts working on August 3 (Monday) and works all days of the week. Ram and Shyam help him on every Saturday and Sunday. On what day is the work finished?a)4 Septemberb)3 Septemberc)5 Septemberd)7 SeptemberCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi can complete a job in 40 days while Shyam and Ram can complete the work the 60 and 120 days respectively. Ravi starts working on August 3 (Monday) and works all days of the week. Ram and Shyam help him on every Saturday and Sunday. On what day is the work finished?a)4 Septemberb)3 Septemberc)5 Septemberd)7 SeptemberCorrect answer is option 'B'. Can you explain this answer?.
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