Question

2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.

Answer 1

108 divided by 2 = 54 minutes
108 divided by 5 = 21.6 minutes

Answer 2

Drain A
`54\ min`

Drain B
`21.6\ min`

Explanation:

Let

x------> the time in minutes

y-----> the volume of the pool in gallons

we know that

The equation that represent the situation is equal to

`y=mx`

solve for x

`x=y/m`

Drain A

`x=y/m`

In this case we have

`m=2(gal)/(min)`

`y=108\ gal`

substitute

`x=108/2=54\ min`

Drain B

`x=y/m`

In this case we have

`m=5(gal)/(min)`

`y=108\ gal`

substitute

`x=108/5=21.6\ min`