Question

2) A. The fountain in the pond behind Kevin’s school has a pump that recirculates 60 gallons of water every 1/5 of an hour. Express this rate as a unit rate in gallons per hour. B. The fountain in the pond at the public park near Kevin’s house has a pump that recirculates 75 gallons of water in 1/4 of an hour. Express this rate as a unit rate in gallons per hour. C. Which fountain flows at a faster rate? Explain

Answer 1

If it flows at 60 in 1/5 of an hour or twenty minutes it will flow 300 gallons in an hour which is the same as part b so part c is both flow at the same rate

Answer 2

Part (A) The fountain in the pond behind Kevin’s school pump 300 gallons in every hour.

Part (B) The fountain in the pond at the public park near Kevin’s house pump 300 gallons in every hour.

Part (C) They both flows at the same rate i.e 300 gallons in every hour.

Explanation:

Consider the provided information.

Part(A)

The fountain in the pond behind Kevin’s school has a pump that recirculates 60 gallons of water every 1/5 of an hour.

We need to express this rate as a unit rate in gallons per hour.

The above information can be written as:

60 gallons = 1/5 hour

Multiply both the sides by 5.

60×5 gallons = 1/5 × 5 hour

300 gallons = 1 hour

Hence, the fountain pump 300 gallons in every hour.

Part (B)

The fountain in the pond at the public park near Kevin’s house has a pump that recirculates 75 gallons of water in 1/4 of an hour.

We need to express this rate as a unit rate in gallons per hour.

The above information can be written as:

75 gallons = 1/4 hour

Multiply both the sides by 4.

75×4 gallons = 1/4 × 4 hour

300 gallons = 1 hour

Hence, the fountain pump 300 gallons in every hour.

Part (C)

From the above calculation we can say that they both flows at the same rate i.e 300 gallons in every hour.