You do not want to do 60 miles round trip on a mountain bike. Go for a road bike.
It seems like some of the commenters are steering you to bikes that may be out of your price range. The ride may be acceptable on something much less expensive. I commute on a 15-year-old Lotus Odyssey road bike. It cost around $300 when I bought it, in 1990. I suppose it is comparable to an entry-level road bike today. Even without any elaborate upgrades, it still rides faster than my mountain bike. I have a thirty-mile round trip commute, and this road bike is a viable machine for everyday commuting.