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A certain number of men take 45 days to complete work. If there are 10 men less then they will take 60 days to complete the work. Find the original number of men.
- a)50
- b)60
- c)30
- d)40
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A certain number of men take 45 days to complete work. If there are 10...
Let us assume initially there are X men. Then x*45 = (x-10)*60. So we get x = 40
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A certain number of men take 45 days to complete work. If there are 10...
Given Information:
- Let the original number of men be x.
- Time taken by x men to complete the work = 45 days.
- If there are 10 men less, i.e., (x-10) men, then they will take 60 days to complete the work.
Understanding the Problem:
- The rate at which work is completed is inversely proportional to the number of men working on it.
- More men, less time taken; fewer men, more time taken.
Solution Steps:
1. Formulating the Equations:
- Using the concept of work done by men, we can write the equations as:
- x * 45 = (x-10) * 60
2. Solving the Equation:
- Solving the equation:
- 45x = 60x - 600
- 600 = 15x
- x = 40
3. Final Answer:
- Therefore, the original number of men required to complete the work in 45 days is 40 men.
Hence, the correct answer is option 'D' (40).
- Let the original number of men be x.
- Time taken by x men to complete the work = 45 days.
- If there are 10 men less, i.e., (x-10) men, then they will take 60 days to complete the work.
Understanding the Problem:
- The rate at which work is completed is inversely proportional to the number of men working on it.
- More men, less time taken; fewer men, more time taken.
Solution Steps:
1. Formulating the Equations:
- Using the concept of work done by men, we can write the equations as:
- x * 45 = (x-10) * 60
2. Solving the Equation:
- Solving the equation:
- 45x = 60x - 600
- 600 = 15x
- x = 40
3. Final Answer:
- Therefore, the original number of men required to complete the work in 45 days is 40 men.
Hence, the correct answer is option 'D' (40).
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A certain number of men take 45 days to complete work. If there are 10 men less then they will take 60 days to complete the work. Find the original number of men.a)50b)60c)30d)40Correct answer is option 'D'. Can you explain this answer?
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