Question

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?

Answer 1

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

Answer 2

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

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}}`

or

`\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