The city of new orleans leaves union station in chicago at 6:00 am and travels south to new orleans. the train travels the 930.0
miles to new orleans at an average speed of 79.0 miles per hour. at the same time the city of chicago leaves new orleans and travels north to chicago. the train travels the 930.0 miles to chicago at an average speed of 81.1 miles per hour. how many miles south of chicago do the two trains pass each other? (miles are specified to the tenth of a mile so the answer must be specified to a tenth of a mile)
1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and
travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.
Scheme:
→to south ←to north |----------------------|---------------------| A x X 930.0 - x B 6:00 am 6:00 am → ← v = 79.0 mi/h v = 81.1 mi/h
=> x = 79.0 mi/h * t
2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The
train travels the 930.0 miles to Chicago at an average speed of 81.1
miles per hour.
930.0 - x = 81.1 mi/h * t
3) How many miles south of chicago do the two trains pass
each other?
Divide the two equations:
930.0 - x 81.1*t ------------- = ---------- x 79*t
The vertex is (-1.5, -6.75). So the x-coordinate is -1.5. Hope this helps and if so please leave a good rating and thanks. I really appreciate it. Have a nice day!
