+11 votes
by (100 points)
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. Save and Exit

1 Answer

+10 votes
by (100 points)
D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.Step-by-step explanation:Flow rate = flow rate of water in the big tank =                          = 60 gallons/minuteflow rate in the smaller tank =                           = 40 gallons/minuteThe difference in flow rate between the tanks = 60 - 40                           = 20 gallons/minuteSince 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.

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