OK -- I'm bored.
Actually . . . I'm still curious about your appliance regulator. Your flame looks "soft". Here's a pic of one of our medium burners on high.
This is often described as a "hard blue flame".
At the same time, you should be realistic about how fast water will boil. You said you were boiling 3/4 of a 5 quart pot full of water. Lots of variables, but we can estimate . . .
3/4 x 5 = 3.75 quarts = .94 gallons
.94 gallons x 8.3 lb / gallon = 7.8 lb water
If your water is 50 degrees to start, you need to raise the water temp 212 - 50 = 162 degrees.
It takes 1 BTU to raise the temp of 1 pound of water 1 degree. We need 162 x 7.8 = 1264 BTUs.
It's often estimated that the heat transfer of a burner like this is about 30 - 40%. Again, lots of variables related to pots and materials and distance and circulation . . .
If 30% efficient, you need to burn 4213 BTUs in order to transfer 1264 BTU
If 40% efficient, you need to burn 3160 BTUs to do the same.
On a 15K/hour burner, this would take:
At 30% efficiency -- 4213 / 15,000 = .28 hour = 17 minutes
At 40% efficiency -- 3160 / 15,000 = .21 hour = 13 minutes
And this is on the biggest burner on HIGH setting. We rarely use our BIGGEST burner because it's usually too wide for the pot. Smaller burner would take longer due to lower ouput.
I was joking above about "a watched pot never boils", but obviously you're not the first person to think it took too long.
Be sure they verify that your regulator is set right.
The next time you "time how long it takes to boil water", actually check the temperature of the water before you start the clock and measure the volume of water and let's see if the result is reasonable.
