AMC 8 1986 Problem 5

A contest began at noon one day and ended $1000$ minutes later. At what time did the contest end? $\text{(A)}\ \text{10:00 p.m.} \text{(B)}\ \text{midnight} \text{(C)}\ \text{2:30 a.m.} \text{(D)}\ \text{4:40 a.m.} \text{(E)}\ \text{6:40 a.m.}$