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

Respuesta :

Answer:

8 hours.

Step-by-step explanation:

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

[tex]L =24.8-2t[/tex]

Now we want water level to be 8.8 meters, I.e [tex]L=8.8m[/tex], therefore, we have:

[tex]L=8.8=24.8-2t[/tex]

we solve the equation for [tex]t[/tex]:

[tex]8.8=24.8-2t\\8.8+2t=24.8\\2t=24.8-8.8\\2t=16\\\\\boxed{t=8}[/tex]

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