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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.
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