Answer:
[tex]Time=\frac{md}{3n}[/tex]
Step-by-step explanation:
We can use the formula shown below to solve this problem.
RWT = J
Where
R is the rate
W is the workers
T is the time
J is the number of jobs
First,
W = m
T = d
J = 1 [since it is said 1 job]
Lets find the Rate (R):
RWT = J
R(m)(d) = 1
R = [tex]\frac{1}{md}[/tex]
Now, using this value of R, we are going to find T, given:
W = n
J = 1/3
R = 1/md (found earlier)
So, let's find T:
RWT = J
[tex](\frac{1}{md})(n)T = \frac{1}{3}\\(\frac{n}{md})T=\frac{1}{3}\\T=\frac{\frac{1}{3}}{\frac{n}{md}}\\T=\frac{1}{3}*\frac{md}{n}\\T=\frac{md}{3n}[/tex]
This is the time it will take, in terms of d, m, and n
