Sasha wants to take the train to visit her friends over the holiday. Amtrak's train 29, the Capital Limited, leaves Union Station in Washington DC at 4:05 p.m. Eastern Time. It arrives at Chicago's Union Station at 8:45 a.m. Central Time the next morning. Where will the tain be when half of the time has passed?

About half way to Chicago. Check the schedule, or a map. It will probably be somewhere in Kentucky.

http://cwrr.com/Amtrak/e_card.html

To determine where the train will be when half of the time has passed, we can first calculate the length of the journey from Washington DC to Chicago. We know the train leaves Union Station in Washington DC at 4:05 p.m. Eastern Time and arrives at Chicago's Union Station at 8:45 a.m. Central Time the next morning.

The time difference between Eastern Time (ET) and Central Time (CT) is 1 hour. So, when it is 4:05 p.m. ET in Washington DC, it is 3:05 p.m. CT in Chicago. This implies that the train takes approximately 17 hours and 40 minutes to travel from Washington DC to Chicago, as it is scheduled to arrive at 8:45 a.m. CT the next day.

Now, to find where the train will be when half of the time has passed, we need to calculate half of the travel time:

17 hours and 40 minutes รท 2 = 8 hours and 50 minutes.

Therefore, when half of the time has passed, the train will be approximately 8 hours and 50 minutes into the journey.