
Ash J.
asked 11/17/23HELP PLS // It takes 3 3/5 minutes to fill an empty aquarium to a depth of 3/8 meters. What is the unit rate in minutes per meter? Write your answer as a fraction or a mixed number in simplest form.
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1 Expert Answer
3 3/5 minutes to fill 3/8 meters
18/5 to fill 3/8 meters
minutes per 1 meter is
3/8 x 8/3 = 1 meter in 18/5 x 8/3 minutes = 144/15 minutes
144/15 minutes per meter= 48/5 min/m = 9.6 min/m
= 9.6 minutes per meter
= 9 3/5 minutes per meter
Ash J.
TYSM!!!
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11/17/23

Cynthia L.
tutor
This is a rate problem, and you can use, rate x time = distance to find your unit rate:
First convert the time to an improper fraction: 18/5
Plug in the numbers into the r x t=d formula
r(18/5 minutes) = 3/8 meters
Then multiply by 5/18 on both sides to isolate the variable 'r' and you get, 5/48 meters/min.
The problem asks for the unit rate in minutes/meters, so you flip the answer to get 48/5, which is 9 6/10 or 9 3/5 minutes/meter in simplest form.
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11/17/23
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