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If 28 persons can do a piece of work in 65 days. How many persons will do it in 35 days?
  • a)
    48
  • b)
    46
  • c)
    52
  • d)
    56
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 28 persons can do a piece of work in 65 days. How many persons will...
If x is required persons then
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Most Upvoted Answer
If 28 persons can do a piece of work in 65 days. How many persons will...
Number of person can do a piece of work in 65 days = 28

Number of person can do a piece of work in 1 day = 28×65 = 1820 persons


Number of person can do a piece of work in 35days = 1820÷35 = 52 persons
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Community Answer
If 28 persons can do a piece of work in 65 days. How many persons will...
Given:
- 28 persons can do a piece of work in 65 days

To find:
- How many persons will do it in 35 days

Formula:
- The work done is inversely proportional to the number of days it takes to complete the work, assuming the number of persons is constant.

Solution:
Let's assume the constant work done by 28 persons in 65 days is "W".

So, the work done can be calculated as follows:
- Work done = Number of persons * Number of days

Therefore, for 28 persons in 65 days, the work done is:
- W = 28 * 65

To find the number of persons required to do the work in 35 days, we can use the formula:
- W = Number of persons * Number of days

Substituting the given values, we have:
- W = Number of persons * 35

Since the work done is the same in both cases, we can equate the two equations:
- 28 * 65 = Number of persons * 35

Simplifying the equation, we get:
- Number of persons = (28 * 65) / 35

Now let's solve the equation to find the number of persons:
- Number of persons = 52

Therefore, the correct answer is option C) 52 persons.
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