Train a leaves new york at 9am eastern time on monday, headed for los angeles at a constant rate of 40 miles per hour. on the same 3,000-mile stretch of track, train b leaves los angeles at noon eastern time on monday, traveling to new york at its constant rate of 60 miles per hour, with one exception: train b is delayed for exactly 2 hours in las vegas (approximately 200 miles from los angeles) due to track maintenance. assuming the time it takes for train b to decelerate and re-accelerate when stopping and resuming in las vegas is negligible, at what time (eastern time) will the two trains meet?