It would take 1.045 minutes for both substances to be at the same temperature.
Substance A started at a temperature of 96.2 and is rising at 1.4 every minute. Assuming minutes were denoted as x, the relevant expression would be:
= Starting temperature + (Rate temperature is rising x number of minutes)
= 96.2 + 1.4x
Substance B is reducing in temperature:
= 98.5 - 0.8x
Equate both expressions:
96.2 + 1.4x = 98.5 - 0.8x
1.4x + 0.8x = 98.5 - 96.2
2.2x = 2.3
x = 2.3 / 2.2
= 1.045 minutes
It would therefore take 1.045 minutes for both substances to be at the same temperature.
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