Question

a garden hose fills a 3 gallon container in 2 minutes. how long would it take to fill a 15 gallon container? ? minutes

Explanation:

Step1: Find the rate of filling

The hose fills 3 gallons in 2 minutes, so the rate is $\frac{3 \text{ gallons}}{2 \text{ minutes}} = 1.5$ gallons per minute. Alternatively, we can use proportionality. Let $t$ be the time to fill 15 gallons. Since the rate is constant, $\frac{3}{2}=\frac{15}{t}$.

Step2: Solve for t

Cross - multiply: $3t = 15\times2$. Then $3t=30$. Divide both sides by 3: $t = \frac{30}{3}=10$.

Answer:

10