Question

Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.

Answer 1

Answer:

$160\ \text{s}$

Step-by-step explanation:

The inequality that represents the situation is

$500-2.5t$ where $t$ is the time in seconds

$\Rightarrow -2.5t$

$\Rightarrow -2.5t$

$\Rightarrow 2.5t>400$

$\Rightarrow t>\dfrac{400}{2.5}$

$\Rightarrow t>160\ \text{s}$

So, the time after which there will be less than 100 gallons of water is $160\ \text{s}$.