Question

A cylindrical water tank is being filled with a hose. The depth of the water increases by 114 ft per hour. How many hours will it take for the water level in the tank to be 312 ft deep?

Answer 1

Answer: 2 4/5 3 1/2

Explanation:

Answer 2

`2(4)/(5)` hours.

Explanation:

We have been given that a cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour. We are asked to find the time taken for the water level in the tank to be 3 1/2 ft deep.

`\text{Time}=\frac{\text{Depth}}{\text{Rate}}`

Let us convert our given mixed fractions into improper fractions as:

`1(1)/(4)\Rightarrow(4* 1+1)/(4)=(4+1)/(4)=(5)/(4)`

`3(1)/(2)\Rightarrow(2* 3+1)/(2)=(6+1)/(2)=(7)/(2)`

`\text{Time}=((7)/(2))/((5)/(4))`

Using rule
`((a)/(b))/((c)/(d))=(ad)/(bc)`, we will get:

`\text{Time}=(7* 4)/(2* 5)`

`\text{Time}=(7*2)/(1* 5)`

`\text{Time}=(14)/(5)`

`\text{Time}=2(4)/(5)`

Therefore, it will take
`2(4)/(5)` hours for the water level in the tank to be
`3(1)/(2)` feet deep.