Question

The air conditioner in Mr. Blakely’s office can cool the room 10 degrees in 90 min. Two doors down, Mr. Burch has an office of the same size but a nicer air conditioner. That air conditioner can cool down the room 10 degrees in 60 min. If we attach both air conditioners to Mr. Blakely’s office, how long would it take to cool the room 10 degrees?

Answers

  1. Answer:
    it will take 45 minutes to cool the room 10 degrees if we attach both air conditioners to Mr. Blakely’s office.
    Step-by-step explanation:
    If we attach both air conditioners to Mr. Blakely’s office, the combined cooling rate will be 10 degrees / 90 min + 10 degrees / 60 min = 20 degrees / 90 min = 2 degrees / 9 min.
    To cool the room 10 degrees, it will take 10 degrees / 2 degrees/9 min = 5 * 9 min = 45 min.

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