A train travels 500 miles in 8 hours. Assuming that the train continues to travel at a constant rate, write an equation that represents this situation.
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Let's let the distance traveled be represented by d and the time it takes to travel that distance be represented by t. We know that the train traveled 500 miles in 8 hours, so:
d = 500
t = 8
We also know that the train traveled at a constant rate, meaning its speed did not change. We can use the formula:
speed = distance / time
to find the speed at which the train was traveling. So:
speed = d / t
speed = 500 / 8
Simplifying this expression gives:
speed = 62.5
Therefore, the equation that represents this situation is:
d = 62.5t
where d is the distance traveled in miles and t is the time taken in hours.