The two liquids will have the same temperature at 10 units of time after the start of both processes.
Given: Graph showing changes of temperature of liquid A when it is heated and liquid B when it is cooled
To find: The time when the two liquids have the same temperature
The given graph is plotted such that 'P' representing the temperature of the liquid is taken on y-axis and 'x' representing the time is taken on x-axis.
The graphs of temperature change with respect to time, of both liquids A and B are plotted in the same answer space and it is implied that both processes (heating of liquid A and cooling of liquid B) occurs simultaneously.
The time when both liquids have the same temperature is represented by graphs of both liquids having the same 'P' value at the same 'x' value. In other words, it is represented by a point in the answer space at which the graphs of temperature of both liquids intersect.
As can be seen from the given figure, the graphs of temperature change of liquid A and B intersect at the point (10, 30), that is at 'x = 10'.
Since 'x' represents the time, this implies that the two liquids will have the same temperature at 10 units of time after the start of the experiment (x = 0).
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