Matt and Sophia attend the same high school, one is in online AP statistics and one takes the course at their high school. That time that it takes Matt to do his math homework follows a normal distribution with mean of 25 minutes and a standard deviation of 5 minutes. Sophia's math homework time follows a normal distribution with a mean of 50 minutes and a standard deviation of 10 minutes. Assume that the time it takes Matt and Sophia to complete their homework is independent.

What is the probability that Matt spent longer on his homework than Sophia did on hers?