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)ResponsesIt will run out of water in 41.666666 minutes. No, 50 is not a viable option.It will run out of water in 41.666666 minutes. No, 50 is not 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 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.

1 answer

To determine when the 50-gallon hot water tank will run out of hot water when using water at a rate of 1.2 gallons per minute, you can calculate the time as follows:

  1. Start with the total volume of the tank: 50 gallons.
  2. Divide the volume by the rate of water usage:

\[ \text{Time} = \frac{\text{Total Volume}}{\text{Rate of Usage}} = \frac{50 \text{ gallons}}{1.2 \text{ gallons/minute}} \approx 41.67 \text{ minutes} \]

Since the tank will run out of hot water in approximately 41.67 minutes, you can conclude:

  • It will run out of water in approximately 41.67 minutes.
  • Therefore, 50 minutes is not a viable option, as it is longer than the time the tank can supply hot water.

The correct response is: It will run out of water in 41.666666 minutes. No, 50 is not a viable option.