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4) if a 50 - gallon water heater leaks.4 gallons of water every 1 minut…

Question

  1. if a 50 - gallon water heater leaks.4 gallons of water every 1 minute, how long until it is completely empty?

Explanation:

Step1: Identify the total volume and leak - rate

The water - heater has a volume of 50 gallons and leaks 0.4 gallons per minute.

Step2: Use the formula for time calculation

The time $t$ to empty the water - heater is given by the formula $t=\frac{V}{r}$, where $V$ is the volume and $r$ is the rate of leakage. Here, $V = 50$ gallons and $r=0.4$ gallons per minute. So, $t=\frac{50}{0.4}$.

Step3: Calculate the result

$\frac{50}{0.4}=\frac{50}{\frac{4}{10}}=50\times\frac{10}{4}=\frac{500}{4}=125$ minutes.

Answer:

125 minutes