HELP!!!!!!! Terrence was filling the new fish aquariums where he works. He was able to fill 1 1/3 aquariums in 2 1/2 hours. At this rate, how long will it take him to fill 4 aquariums?

Answers

Answer 1

Answer:

Answer:

$7(1)/(2)$ hours will it take to fill 4 aquarium

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1, such as 3 feet per second or 6 miles per hour, they are called unit rate

As per the statement: Terrence was filling the new fish aquariums where he works. He was able to fill $1(1)/(3)=(4)/(3)$ aquariums in $2(1)/(2) = (5)/(2)$ hours.

$\text{Unit rate per hour} = \frac{\text{Number of aquariums}}{\text{Number of hours}}$

Substitute the given values we get;

$\text{Unit rate per hour} = ((4)/(3))/((5)/(2))}$

Simplify:

$\text{Unit rate per hour} = (8)/(15)$

Now, to find the number of hours will it take to fill 4 aquarium.

${(8)/(15)} = \frac{4}{\text{Number of hours}}$

$\text{Number of hours} = (4)/((8)/(15)) = 4 * (15)/(8) = (15)/(2) = 7(1)/(2)$

therefore, it will take to fill aquarium is, $7(1)/(2)$ hours

Answer 2

Answer: 7 1/2 hours.
1 1/3 - 2 1/2
2 2/3 - 5
4- 7 1/2

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Answers

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Detailed solution is attached

Final answer:

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Explanation:

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Learn more about Geometric Series here:

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Step-by-step explanation:

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