Question

A 50-gallon hot water tank uses water at peak times at a rate of 1.2 gallons per minute. When will the water tank run out of hot water? Is 50 minutes a viable option?(1 point) Responses It will run out of water in 48.8 minutes. No, it is not a viable option. It will run out of water in 48.8 minutes. No, it is not a viable option. It will run out of water in 42 minutes. Yes, it is a viable option. It will run out of water in 42 minutes. Yes, it is a viable option. It will run out of water in 60 minutes. Yes, it is a viable option. It will run out of water in 60 minutes. Yes, it is a viable option. It will run out of water in 41.666666 minutes. No, 50 is not a viable option.

Answer 1

To determine how long the hot water tank will last, we can use the formula:

\[
\text{Time} = \frac{\text{Volume of the tank}}{\text{Flow rate}}
\]

Given that the volume of the hot water tank is 50 gallons and the flow rate is 1.2 gallons per minute, we can calculate the time:

\[
\text{Time} = \frac{50 \text{ gallons}}{1.2 \text{ gallons/minute}} \approx 41.67 \text{ minutes}
\]

So, the hot water tank will run out of hot water in approximately 41.67 minutes.

Regarding whether 50 minutes is a viable option:

Since 41.67 minutes is less than 50 minutes, the answer is:

**No, it is not a viable option.**