Question

NEED HELP ASAP!

Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. TankB
contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how
many minutes will the tanks contain the same amount of water? How much water will
that be?

Answer 1

9514 1404 393

Answer:

5 minutes; 60 gallons

Explanation:

The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...

y = 35 +5x . . . . . . where y is gallons, and x is minutes

The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...

y = 100 -8x

We want to find the values of x and y such that both are the same for both tanks.

35 +5x = y = 100 -8x

13x = 65 . . . . . . . . add 8x-65 to both sides of the equation

x = 5

y = 100 -8·5 = 60

Both tanks will hold 60 gallons after 5 minutes.