Answer: The true temperature was 80ºC
The winner is Mike Waterman of Camberley, Surrey, UK. There were 124 entries.
Worked answer
Notation
- TC = Temperature indicated in ºC
- TF = Temperature indicated in ºF
- TT = True temperature in ºC
- EC = Error Factor – ºC Measurement
- EF = Error Factor – ºF Measurement
Basic Formulae
- TC = TT . EC…..(1)
- TF = (TT . 9/5 + 32). EF…..(2)
- TT = TC/EC = (TF/EF – 32). 5/9…..(3)
Calculations
- TC = 76.3
- TF = 150.1
- 76.3/EC = (150.1/EF – 32) . 5/9…..(3)
- TC = 98.1
- TF = 184.3
- 98.1/EC = (184.3/EF – 32) . 5/9…..(3)
Eliminating EC
- 76.3 (184.3/EF – 32) = 98.1 (150.1/EF – 32)
- EF = 0.95
- With TF = 167.2
- &
- TT = (TF/EF – 32) . 5/9…..(2)
- TT= (167.2/0.95-32) . 5/9=80
Solution = 80ºC
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