A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. A bathroom sink faucet stream 0.75 gallon of water in 18 seconds. Which faucet will fill a 3-gallon container faster?

Respuesta :

Answer:

kitchen sink faucet stream

Step-by-step explanation:

with kitchen sink faucet you fill 0.05gallons of water per second you get that by dividing 0.5 by 10

and the bathroom sink faucet does 0.041gallons of water per second you get that by dividing 0.75 by 18

Unit rate in mathematics involves the comparison between two quantities or components.

The faucet that will fill a 3-gallon container faster is the kitchen sink faucet.

Based on this question, Unit rate can be defined as the volume covered per time.

The formula for rate based on this question is

Volume (gallons) / Time (seconds)

  • For kitchen sink faucet

Volume of water = 0.5 gallons

Time = 10 seconds

Rate = 0.5 gallon/10 seconds

= 0.05 gallon per second

Hence:

0.05 gallons = 1 second

3 gallons = ?

Cross Multiply

3 gallons x 1 second / 0.05 gallons

= 60 seconds

Therefore, the kitchen sink faucet will fill a 3-gallon container in 60 seconds

  • For the sink faucet

Volume of water = 0.75 gallons

Time = 18 seconds

Rate = 0.75 gallons/18 seconds

= 0.042 gallon  per second

Hence:

0.042 gallons = 1 second

3 gallons = ?

Cross Multiply

3 gallons x 1 second / 0.042gallons

= 60 seconds

Therefore, the kitchen sink faucet will fill a 3-gallon container in 71.43  seconds

Comparing the rate at which both the kitchen sink and bathroom sink faucet will fill a 3-gallon container, therefore,  the kitchen sink faucet will fill a 3-gallon container faster.

To learn more, visit the link below:

https://brainly.com/question/24249774