In a vulcanization process, a tire is placed in an oven at $149$ degrees Celsius. The rubber is considered cured when its temperature reaches $132$ degrees C$.$ The tire is initially at $21$ degrees C and the thickest part of its tread is $2\mathrm{.}5$ cm thick. The exchange coefficient h is very large and the properties are as follows: $($k $=0\mathrm{.}13$ W$/$m$-$K$,$ Cp $=2000$ J$/$kg$-$C and density$=1100$kg$/$m$^3).$ How long should the tire be left in the oven?