Two political activists, Tommy and Mitchell, have a friendly bet to see who can get the most signatures on a petition. So far, Tommy has collected 180 signatures and Mitchell has collected 149 signatures. Tommy is averaging 3 new signatures per minute, while Mitchell is managing to collect an average of 4 signatures per minute. Assuming this trend continues, they will have a tie before long. How many signatures will each one have at that point? How long will that take?