Problem

Problem

A particular substance is being cooled by a stream of cold air (temperature of the air is constant and is 5∘C5^\circ\text{C} ) where rate of cooling is directly proportional to square of difference of temperature of the substance and the air. If the substance is cooled from 40∘C40^\circ\text{C} to 30∘C30^\circ\text{C} in 15 min and temperature after 1 hour is T∘CT^\circ\text{C} , then find the value of [T]/2[T]/2 where [⋅][ \cdot ] represents the greatest integer function.

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