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A piece of work has to be completed in 50 days, a number of men are employed but it is found that only half of the work is done in 30 days, then an additional 20 men were joined to complete the work on time. How many men initially put to work?
  • a)
    30
  • b)
    35
  • c)
    40
  • d)
    45
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A piece of work has to be completed in 50 days, a number of men are em...
suppose Initially X men get employed. Half work is done in 30 days it means full work will be done by X men in 60 days. Now,
Work done = 1/2 = [20*(x + 20)]/60X
X = 40
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Most Upvoted Answer
A piece of work has to be completed in 50 days, a number of men are em...
Given information:
- Total work has to be completed in 50 days
- Only half of the work is done in 30 days
- An additional 20 men were joined to complete the work on time

Let the total work be represented by W.

Work done in 30 days:
- In 30 days, only half of the work is done
- Work done = 0.5W

Work done by initial men in 30 days:
- Let x be the number of men initially put to work
- Work done by x men in 30 days = 30 * x
- Since only half of the work is done, 30 * x = 0.5W
- x = 0.5W / 30 = W / 60

Work done by additional men in 20 days:
- An additional 20 men were joined to complete the work on time
- Total men working = x + 20 = W / 60 + 20
- Work done by (W / 60 + 20) men in 20 days = 20 * (W / 60 + 20) = W

Equating the work done:
- 20 * (W / 60 + 20) = W
- 20W / 60 + 400 = W
- 20W + 24000 = 60W
- 40W = 24000
- W = 600

Calculating the number of men initially put to work:
- x = W / 60 = 600 / 60 = 10

Therefore, the number of men initially put to work is 40. So, option (c) is correct.
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Community Answer
A piece of work has to be completed in 50 days, a number of men are em...
suppose Initially X men get employed. Half work is done in 30 days it means full work will be done by X men in 60 days. Now,
Work done = 1/2 = [20*(x + 20)]/60X
X = 40
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A piece of work has to be completed in 50 days, a number of men are employed but it is found that only half of the work is done in 30 days, then an additional 20 men were joined to complete the work on time. How many men initially put to work?a)30b)35c)40d)45e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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