Answer
We see that the carbon black causes the ice to melt, for the ice with the carbon black melts faster.
Work Step by Step
We use a known equation and known constants to find:
$t = \frac{\rho hL}{.1I}\\t=\frac{(917)(2.5)(334,000)}{.1\times300}= .81\ years$
We compare:
$t = \frac{\rho hL}{.1I}\\t=\frac{(917)(2.5)(334,000)}{.5\times300}= .162 \ years$
We see that the carbon black causes the ice to melt, for the ice with the carbon black melts faster.