On the last page you might have noticed that in the formula for Latent Heat of Fusion or Vaporization there was no mention of a change in temperature.
When a object changes phase (melts or boils) no temperature change occurs, all the energy goes into breaking the bonds.
It is important to realise that when you add ice to a glass of water, the temperature starts around 7°C. After 30 mins the temperature is still around 7°C, actually the temperature stays around 7°C until all the ice has melted which takes 60 minutes.
It takes a 3.5 hours for the water to reach room temperature of 19.9°C.