60MPH doesn't happen anywhere in the NYC subway system. It only looks like that on the Lexington Ave express because the tunnels are so tight. Top speeds on that line flirt with but don't quite reach 50. I've seen R32 cars reach 56 going downhill in the river tunnel on the N/R/W from 59th street to Queens Plaza.
---PCJ
From an engineering economics point of view, speeds over 45 would be very undesirable in the New York subways.
The most obvious is energy requirement. Rolling resistance increases linearly with speed. Wind resistance increase as the square of the speed. A railroad passenger train at 80 mph is using half of its fuel to overcome wind resistance. That computes to 20% at 40 mph. so when you increase the speed of a subway car from 40 to 50 you're using at least 11% more energy. But the ratio is worse in the subway because of the flat front.
Even the longest IRT express run is 1.5 miles, so your not going to gain much time with trains faster than 40-45. It would also take a tremendous amount of energy to accelerate fast enough to be doing 60 mph for the short time between stations.
And there there is signal system cost. I don't know if it is tecnically feasible to design a signal system for two minute headways at 60 mph with maximum station spacing of 1.5 miles and safe stopping distances, but I'm sure it would be difficult and very expensive.
Looking at the map, it looks to me like the longest IND express runs are on the E, f and R trains in Queens. IT would be interesting to know the design speed of the signal systems out there.