Problema Solution
the time t required to do a job varies inversely as the number of people working.It takes 6 hours for 4 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 3 cooks to prepare the food?
Answer provided by our tutors
let n = the number of people
t varies inversely with n if there is a constant k such that
t = k/n multiply both sides by n
t*n = k
k = t*n
lets find k
It takes 6 hours for 4 cooks to prepare the food for a wedding rehearsal dinner thus
t = 6 hr
n = 4 people
k = 6*4
k = 24
for n = 3 people we have
t = 24/3
t = 8 hr
It will take 8 hours for 3 cooks to prepare the food.