Final answer:
To solve this problem, we can write a proportion based on the given information and solve for the unknown value. The train would travel 320 miles in 8 hours.
Step-by-step explanation:
To write a proportion, we can set up the ratio of distance to time for the given train journey: 200 miles / 5 hours. We can then use this proportion to find the distance the train would travel in 8 hours.
Let's set up the proportion:
200 miles / 5 hours = x miles / 8 hours
To solve for x, we can cross-multiply and then divide:
5x = 200 * 8
x = 1600 / 5
x = 320
Therefore, the train would travel 320 miles in 8 hours.
Learn more about Proportions in Mathematics