One day I decided to walk all the way from Bangalore to Tumkur. I started exactly at noon. And someone I know in Tumkur decided to walk all the way to Bangalore from Tumkur and she started exactly at 2 pm, on the same day. We met on the Bangalore-Tumkur Road at five past four, and we both reached our destination at exactly the same time. At what time did we both arrive?