Answer: It will take 1.875 hours
Explanation:
Given that time t required to do a job varies inversely as the number of people working.
we have it expressed as
t∝1/N
where t is time required to do a job
N is the number of people working.
Introducing our constant of proportionality, we have tht
t=k1/N
t=k/N
Now since it takes 5 hr for 3 cooks to prepare the food , K becomes
t=k/N
5=K/3
K=5X3=15
Given that there are 8 cooks, time required to prepare dinner will be
t=k/N
t=15/8
t=1.875 hours