CAT Exam > CAT Questions > 30 workers can finish a work in 20 days. Afte...
Start Learning for Free
30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :
- a)12
- b)10
- c)6
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
30 workers can finish a work in 20 days. After how many days should 9 ...
Go through options. Consider option (c)
► 30 x 20 = 30 x 6 + 21 x 20
► 600 = 600,
Hence presumed option is correct.
► 30 x 20 = 30 x 6 + 21 x 20
► 600 = 600,
Hence presumed option is correct.
Alternatively :
► 30 x 20 = 30 x x + 21 x (26 - x )
► ⇒ x = 6
► 30 x 20 = 30 x x + 21 x (26 - x )
► ⇒ x = 6
Most Upvoted Answer
30 workers can finish a work in 20 days. After how many days should 9 ...
Given data:
- 30 workers can finish a work in 20 days
- Let the total work be 1 unit
- Let the number of days taken by 9 workers to complete the work be x
Calculation:
- We know that the total work is 1 unit
- So the work done by 30 workers in 1 day = 1/20
- So the work done by 1 worker in 1 day = (1/20)/30 = 1/600
- Let the work done by 9 workers in x days be y
- We know that the remaining work has to be completed in (26-x) days
- So, the work done by 21 workers in (26-x) days = (1-y)
- Work done by 1 worker in 1 day = 1/600
- Work done by 21 workers in 1 day = 21 * (1/600) = 7/200
- Work done by 21 workers in (26-x) days = (7/200)*(26-x) = (91-7x)/200
- We know that the total work done by 30 workers in 20 days is 1 unit
- So, y + (91-7x)/200 = 1
- Solving for x, we get x = 6 days
Therefore, 9 workers should leave the job after 6 days so that the work is completed in a total of 26 days.
- 30 workers can finish a work in 20 days
- Let the total work be 1 unit
- Let the number of days taken by 9 workers to complete the work be x
Calculation:
- We know that the total work is 1 unit
- So the work done by 30 workers in 1 day = 1/20
- So the work done by 1 worker in 1 day = (1/20)/30 = 1/600
- Let the work done by 9 workers in x days be y
- We know that the remaining work has to be completed in (26-x) days
- So, the work done by 21 workers in (26-x) days = (1-y)
- Work done by 1 worker in 1 day = 1/600
- Work done by 21 workers in 1 day = 21 * (1/600) = 7/200
- Work done by 21 workers in (26-x) days = (7/200)*(26-x) = (91-7x)/200
- We know that the total work done by 30 workers in 20 days is 1 unit
- So, y + (91-7x)/200 = 1
- Solving for x, we get x = 6 days
Therefore, 9 workers should leave the job after 6 days so that the work is completed in a total of 26 days.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
Question Description
30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. 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 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. 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 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. 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 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :a)12b)10c)6d)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup