The time t required to do a job varies inversely as the number of people working. It takes 4 hr for 7 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 8 cooks to prepare the dinner?

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Answer:3 1/2 hours

Step-by-step explanation:If there are 8/7 times as many cooks, it will take 7/8 the amount of time. (That’s what “inversely proportional” means.)

(7/8)(4 h) = 28/8 h = 3 1/2 h

It will take 8 cooks 3 1/2 hours to prepare the dinner.