A train travels 240 miles in 5 hours. At this rate, how far could the train go in 13 hours? What is the rate of speed of the train

We can set up a proportion with the information:
[tex]\frac{240}{5}[/tex] = [tex]\frac{x}{13[/tex]
where x = the miles the train travels in 13 hours.
Now solve for x; multiply the numerator of the first fraction by the denominator of the second fraction and vice versa, and set them equal to each other:
240 · 13 = 5 · x
3120 = 5x
Finally, use the Division Property of Equality to divide both sides by 5 and find the value of x:
624 = x
Therefore, the train travels 624 miles in 13 hours.
Hope this helps! :)