Question

Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is

positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of

water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same

amount of water as the small tank. Which statement describes the flow rate?

The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.

O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.

The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.

The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

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Answer 1

B

Explanation:

took the quiz

Answer 2

D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Explanation:

Flow rate =
`(gallons of water)/(minute)`

flow rate of water in the big tank =
`(300)/(5)`

= 60 gallons/minute

flow rate in the smaller tank =
`(200)/(5)`

= 40 gallons/minute

The difference in flow rate between the tanks = 60 - 40

= 20 gallons/minute

Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.

Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.