Poor Pitman. He too thought the light he saw was about 3 miles away. But he also thought it was a lamp from one of the other lifeboats.
AB Thomas Jones who in charge of boat #8:
"He [Smith] told me to row for the light, and land the passengers and return to the ship. I pulled for the light, and I found that I could not get near the light, and I stood by for a little while. I wanted to return to the ship, but the ladies were frightened, and I had to carry out the captain's orders and pull for that light; so I did so. I pulled for about two hours, and then it started to get daybreak, and we lost the light; and then all of a sudden we saw the Carpathia coming, and we turned right back and made for the Carpathia."
They rowed for 2 hours and couldn't get any closer. Now why do you think that was?
A simple quote from one master mariner: "
you cannot judge by a light at sea."
And by the way, regarding lifeboat occupancy, I suggest the following: