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A work could be completed in 100 days. Due to the absence of 10 workers it was completed in 110 days. The original number of workers was
  • a)
    55                            
  • b)
    100
  • c)
    50                            
  • d)
    110
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A work could be completed in 100 days. Due to the absence of 10 worker...
Originally let there be x men.
Less men, More days     (Indirect Proportion)
Therefore, (x-10) : x  :: 100 :110
=> (x - 10) * 110 = x * 100    => x= 110
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Most Upvoted Answer
A work could be completed in 100 days. Due to the absence of 10 worker...
Work was to be completed in 100days
so, 1 day work =1/100
in absence of 10 workers work =1/110
therefore,1/100-1/110*100=1/110
now on reversing as per rule no. of worker is 110.
Free Test
Community Answer
A work could be completed in 100 days. Due to the absence of 10 worker...
Given:
- A work can be completed in 100 days with a certain number of workers
- The work was completed in 110 days due to the absence of 10 workers

To find: The original number of workers

Solution:
Let the original number of workers be x.
According to the given information,

Work done by x workers in 1 day = 1/100
Work done by (x-10) workers in 1 day = 1/110

We know that the amount of work done is directly proportional to the number of workers and the time taken to complete the work. So we can set up the following equation:

(x)(100) = (x-10)(110)

Simplifying the equation,

100x = 110x - 1100
10x = 1100
x = 110

Therefore, the original number of workers was 110. Answer: (D)
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A work could be completed in 100 days. Due to the absence of 10 workers it was completed in 110 days. The original number of workers wasa)55b)100c)50 d)110e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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