Question

A tank sprung a leak in the water level started drop from 24.8 m at a rate of 2 m/h. Right and solve an equation to determine how long it will take the water level to drop 8.8 m

Answer 1

8 hours.

Explanation:

The initial water level is 24.8 meters, and the rate of water level drop is 2 meters/ hour, that means after
`t` hours the water level
`L` will be

`L =24.8-2t`

Now we want water level to be 8.8 meters, I.e
`L=8.8m`, therefore, we have:

`L=8.8=24.8-2t`

we solve the equation for
`t`:

`8.8=24.8-2t\\8.8+2t=24.8\\2t=24.8-8.8\\2t=16\\\\\boxed{t=8}`

it will take 8 hours for the water level to drop to 8.8 meters.