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
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.