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An air conditioner cools the room at a rate of 3 degrees C per hour. If the starting temperature of the room is 32 degrees C, find the number of hours it takes to bring the room temperature down to 5 degrees C.

Answer :

Final answer:

To find how long it will take to cool the room from 32 degreesC to 5 degreesC at a rate of 3 degreesC per hour, we subtract the target temperature from the starting temperature and then divide by the rate of cooling. It would take 9 hours to cool the room to 5 degreesC.

Explanation:

The question involves a concept in mathematics called rate. To solve it, we need to determine how long it will take for the room's temperature to reach 5 degrees Celsius from 32 degrees Celsius with the air conditioner cooling the room at a rate of 3 degrees Celsius per hour.

First, we need to find the difference in temperature. That is 32 degreesC - 5 degreesC = 27 degreesC. Then this difference should be divided by the rate of cooling to find the time. This gives us 27 degreesC / 3 degreesC per hour = 9 hours. So, it will take 9 hours for the air conditioner to reduce the temperature of the room from 32 degreesC to 5 degreesC.

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