Here's my stab at it. I subtracted the temp of the room (75 F) from the temp the alarm is set to detect (135 F) which gave me a "Temperature Bridge" or "TB" of 60 degrees. I then divided the 100 RTI of the detector by the 60 degree TB which brings us to a 1.66..."ResponseTime" or "RP". I then took into account that the ex was most likely raised in a barn (she had to be if she dated you) and left the door and window open, which caused a severe draft. So I added 15% to my 1.66 RP to compensate for windchill factor and that makes the real-time RP 1.91. Now take the 250 BTU of the flame and multiply that by 1.91=477.5, and divide that by 60. This gives you your answer which is 7.958 seconds. I've included an illustration, which should clear up any questions you have about how I figured this out.
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