Hobbits, Wizards and a nice cup of tea

Bilbo and Gandalf are having tea together. Their mugs are similar, with Gandalf's 2.5 times longer in each dimension. After Bilbo has poured the hot water (up to the brim in both the mugs) and the mugs have warmed up to be in thermal equilibrium with the tea inside them, they are each at a temperature of \(90^ \circ C\). But, Bilbo and Gandalf prefer to drink their tea at \(80^ \circ C\).

After 2 minutes, Bilbo's tea has cooled enough for him to start drinking it. How much longer (in minutes) Gandalf has to wait to drink his own tea after Bilbo has started drinking his tea?

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