Question

A train left Philadelphia at 8 AM on July 1st. It traveled 2,864 miles to Portland, Oregon, arriving at 9AM on July 4th. What was the average rate of change of the train in miles per hour?​

Answer 1

39.23 miles per hour

Explanation:

Calculate the total time traveled: Arrival Time - Departure Time

Total Time Traveled = 9 AM on July 4th - 8 AM on July 1st = 73 hours

Calculate the average rate of change: Total Distance Traveled / Total Time Traveled

Average Rate of Change = 2,864 miles / 73 hours

Simplify the division to find the average rate of change in miles per hour: approximately 39.23 miles per hour.

Answer 2

about 37.68 mph

Explanation:

You want the average speed of a train that traveled the 2864 miles from Philadelphia, PA, to Portland, OR, taking from 8 a.m. 1 July to 9 a.m. 4 July.

Hours

When the train leaves at 8 a.m. Eastern time in Philadelphia, it is 5 a.m. Pacific time in Portland. When the train arrives in Portland at 9 a.m. on the third day, the trip will have taken 3 days + 4 hours, or 76 hours.

Speed

The average speed is the ratio of distance to time:

speed = distance/time

speed = (2864 mi)/(76 h) ≈ 37.68 mph

The average speed of the train is about 37.68 miles per hour.

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Additional comment

Amtrak says the trip of 2406 miles takes between 73.6 hours and 103.4 hours, depending on the train. There is at least one transfer between trains along the way. Several trains per day are scheduled.

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