This outcome was probably a result from the amount of energy being released from the water at different temperatures. When the temperature was hot, more of the water was evaporating, so the alka-seltzer responded to that by dissolving faster. This was because there was more energy that could be applied to the tablet. As the temperature lowered, there was less energy being released, so there wasn't that extra "boost" of energy to help dissolve the tablet.
Here is a graph that shows the correlation associated with temperature (aligned along the x-axis) and time taken to dissolve (aligned along the y-axis). As you can see, the higher the temperature is, the time it takes to dissolve is significantly lowers. As the temperature decreases, the amount of time it takes to dissolve increases.
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