Inactive Tutor answered • 02/25/23
Tutor
New to Wyzant
7 machines complete the work in 12 days
6 machines will do it in 14 days, working at the same speed
less machines take longer
3 will do it in 28, twice as long with half as many machines
1 machine will take 84 days
12 will do it in 7 days
14 in 6 days
84 in 1 day
12(7) = 6(14) = 84
days and machines are inversely related
m= k/d where k= the constant of proportionality = 84
m = 84/d
d = 84/m
7 =84/12
6 = 84/14
a common mistake would be to treat it as a direct relation
with
m =kd
7 = k(12
k = 7/12
m =(7/12)14 = 7(7)/6 = 49/6 = 8 1/6 machines needed
but not true
