Question

The time t required to do a job varies inversely as the number of people working. It takes 5 hr for 3 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 8 cooks to prepare the dinner?

Answer 1

Answer: It will take 1.875 hours

Step-by-step 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