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Alexis is filling a trailer with firewood. She is able to fill \(\frac{1}{4}\) of the trailer in \(\frac{1}{2}\) of an hour. If she continues to work at the same rate, how long will it take for Alexis to fill the whole trailer with firewood?

Answer :

Final answer:

To find out how long it will take for Alexis to fill the whole trailer with firewood, set up a proportion and solve. It will take Alexis 3 hours to fill the whole trailer.


Explanation:

To find out how long it will take for Alexis to fill the whole trailer with firewood, we need to figure out how much of the trailer she can fill in one hour. We are given that she is able to fill ⅓ of the trailer in ⅛ of an hour. To find out how long it will take for Alexis to fill the whole trailer, we can set up a proportion.

⅛ hour → ⅓ of the trailer

1 hour → 1 whole trailer

Solving the proportion, we get 1 hour → 3 whole trailer. Therefore, it will take Alexis 3 hours to fill the whole trailer with firewood.


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