ISRO Scientist or Engineer Mechanical 2016 Question 2

Question 2

A beaker filled with hot water in a room cools from $$70^\circ C$$ to $$65^\circ C$$ in $$t_1$$ minutes, $$65^\circ C$$ to $$60^\circ C$$ in $$t_2$$ minutes and from $$60^\circ C$$ to $$55^\circ C$$ in $$t_3$$ minutes. Then,

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