Question 158177
clerks * rate * time = units
clerks is number of stock clerks
rate is number of units stocked per hour per stock clerk
time is in hours.
units is number of cans stocked.
let s = number of stock clerks
let r = number of cans stocked per hour per clerk
let t = number of hours it took to complete the job
let c = number of cans stocked in total
formula becomes
s*r*t = c
r = c/h/s = cans stocked per hour per clerk = c/(h*s)
substituting in the first part of the problem,
s = 8
r = r (unknown at this time)
t = 10
c = 26000
equation is s*r*t = c
substituting in this equation we get
8*r*10 = 26000
solving for r, we get
r = 26000/(8*10) = 325 cans stocked per stock clerk per hour.
now that we know the rate, we can solve for the second part of the problem.
same equation is used, i.e. s*r*t = c
in this case, however,
s = 5
r = 325
t = t (unknown at this time)
c = 16250
substituting in the equation s*r*t = c
we get
5*325*t = 16250
solving for t, we get
t = 16250/(5*325) = 16250 / 1625 = 10
answer is t = 10 hours.
so 5 stock clerks working for 10 hours and stocking 325 cans per stock clerk per hour will stock 5*10*325 = 16250 cans.