Time taken for two substances to reach equilibrium (equation?)

[Da Apprentice]

I was wondering is there a formula that relates to the time it takes for a system to reach equilibrium? For example in an experiment I used one beaker at 25C inside another at 100C. The volume of the inner beakers was 1/2 that of the outer and with this combiation it took 7minutes for both beakers to reach the same temperature. If the volume of the inner beaker were changed to 1/4 of the outer beaker (starting at the same temperatures) would it take half the time to reach equilibrium as the previous example?

 

[Nemus]

This is more of a physics question. For a simple A <-> B chemical reaction with forward rate k1 and reverse rate constant k2 the time constant for reaching equlibrium is 1/(k1 + k2) if I remember correctly.

 

[Da Apprentice]

This is more of a physics question. For a simple A <-> B chemical reaction with forward rate k1 and reverse rate constant k2 the time constant for reaching equlibrium is 1/(k1 + k2) if I remember correctly.

The time constant how is this then used? Forward and Reverse rate - are these the rates at which the equation takes to reach equilibrium? e.g. Graph attached?

EDIT: Ignore the writing at the bottom of the graph - I know it's a pointless statement