A buliding can be constructed by 1800 workers in 50 days . How many mo...
Given information:
Number of workers = 1800
Number of days = 50
Calculation:
Let's assume the total work to be done is represented by W.
Therefore, the work done by the 1800 workers in 50 days is given by:
1800 workers * 50 days = W
Work done = 90000W
Finding the work done in 1 day:
To find the work done in 1 day, we need to divide the total work done by the number of days:
Work done in 1 day = 90000W / 50 = 1800W
Finding the number of workers needed to complete the work in 30 days:
Let's assume the number of additional workers needed to complete the work in 30 days is represented by x.
If the work is completed in 30 days, the work done in 1 day will be:
Work done in 1 day = W / 30
Equating the work done:
Since the amount of work done is the same, we can equate the two expressions for the work done in 1 day:
1800W = W / 30
Simplifying the equation:
We can simplify the equation by canceling out the common factor of W:
1800 = 1 / 30
Finding the number of additional workers needed:
To find the number of additional workers needed, we need to subtract the initial number of workers from the new number of workers:
Additional workers needed = x - 1800
Calculating the number of additional workers needed:
We can calculate the number of additional workers needed by solving the equation:
1800 = 1 / 30
x - 1800 = 1 / 30
x = 1 / 30 + 1800
x ≈ 1866.67
Conclusion:
Therefore, approximately 1867 additional workers should be employed to complete the work in 30 days.