Josh and Nancy don't have a portable cooler, so they put a bunch of ice in a big clear plastic tupperware to take to the beach. The tupperware holds $0\mathrm{.}59$kg of ice that was originally at a temperature of $0$ degree F$.$ Thermal energy from the outside of the tupperware flows to the ice in the container at rate of $2600$ J$/$min

From the time when the heating begins, how much time $($in hours$)$ does it take before the ice turns into water at $34$ degrees F$?$

Note that the specific heat of ice is $2090$ J$/\{$kgK$).$ and the latent heat of fusion of water is $334,000$ J$/$kg$.$