Question

Judd has one hour of time. His objective is to eat bowls of fresh coleslaw and drinlk fruit smoothies. He has to make both from scratch. It takes 6 minutes for him to make a fruit smoothie and 30 minutes to make a proper fresh coleslaw. So if he spend half of his time making smoothies and half of his time making coleslaw, he can have 5 fruit smoothies and 1 bowl of coleslaw Judd is friends with Sarah. While they both like coleslaw and fruit smoothies, they have different skills. It takes Sarah 20 minutes to make a bowl of coleslaw and 15 minutes to make a fruit smoothie (a) If Judd and Sarah are prevented from trading with one another, and they each spend half of their hour making and consuming each product, how much of each will they consume? (b) If Judd only makes smoothies, how many can he make? If Sarah only makes coleslaw, how many bowls can she make in one hour?

Answer 1

(a) Judd can make 5 fruit smoothies and 1 bowl of coleslaw in an hour. So, Judd will consume 5 fruit smoothies and 1 bowl of coleslaw.
Sarah takes 20 minutes to make coleslaw and 15 minutes to make a smoothie. So, spending half of her time on each product, she can make 2 smoothies in half an hour and only 1 coleslaw in half an hour, as another coleslaw needs extra 10 minutes which she does not have. So, Sarah will consume 2 fruit smoothies and 1 bowl of coleslaw.

(b) Judd requires 6 minutes to make a smoothie and he has 1 hour or 60 minutes. So, he can make a total of 60/6 = 10 smoothies.
Sarah requires 20 minutes to make a bowl of coleslaw and she has 1 hour or 60 minutes. So, she can make a total of 60/20 = 3 coleslaw.