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**Latent Heat Problem/ Phase Change.....Please Help!!!!!!!**

At 1:00pm you place an ice cube tray in the freezer. Each of the 12 1-gram cubes has a temperature of 20°C. At 1:10 the water temperature has dropped to 12°C. At what time will you have ice?

i have been messing around with this problem for like 20 minutes and I am missing something, I am using Q=mc delta T, and i know it takes 1 cal/g/degree C to go from 20 down to zero, and you have to add the latent heat from water to ice to that to get Q total, i just cant figure out how to work the time factor in.......please help, thanks