A project can be completed by n workers in t days.
If 56 workers need 7 days to finish the project, find the value of k - I found k. K=392
Final step -
Hence, express n in terms of t. WHAT DO I DO HERE?
The job requires 392 worker days
so to find , the number of workers for job in t days
n workers * t days = 392 worker days
so
n = 392/t
There is a total of n*t man-days of labor. That is 56*7 = 392
So, your relationship is nt = 392
or, n = 392/t
To express n in terms of t, you need to find the relationship between the number of workers, n, and the number of days, t, required to complete the project.
From the given information, we know that a project can be completed by n workers in t days. We also know that when 56 workers are assigned to the project, it takes 7 days to finish.
Let's use these values to find the relationship. We can set up a proportion:
n1/t1 = n2/t2
Substituting the given values, we have:
56/7 = n/t
Now, to express n in terms of t, we can cross multiply:
56t = 7n
Divide both sides of the equation by 7:
8t = n
So, the relationship between n and t is n = 8t.
Now that we have expressed n in terms of t, we can proceed with any further calculations or substitutions based on this relationship.