Answer: The cake would be 100F after about 47 minutes
Explanation:
Initial temperature = 210F
Time at 140F = 30 minutes
At 140F the cake has lost (210-140)F
= 70F
70F is lost on 30minutes
Rate of temperature reduction
= (70/30) F/min
= 7/3F/min
To lose 110F from 210 to 100F
Temp/time = 7/3
110/t = 7/3
Cross multiply
t = 330/7
t = 47.1429minutes ~ 47min