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Answer :
The distance, rate and time relationship and the distance between the two trains indicates;
The rate of the faster train is 95 mph
The rate of the slower train is 85 mph
What is the rate distance and time relationship?
The steady rate of the motion of an object, r, can be obtained from the ratio of the distance traveled, d, to the duration of travel, t. r = d/t.
Let r represent the rate of the faster train, therefore;
The rate of the slower train = r - 13
The two trains are traveling together, therefore, we get;
The combined rate = r + r - 13 = 2·r - 13 miles per hour
The duration it takes for the two train to meet = 4 hours
The formula for distance rate and time can be used to find the combined rate of the two trains as follows;
Distance, d = r·t
Where the combined distance traveled by the two trains, d = The distance between the towns from which the trains depart, which is 708 miles
Therefore; 708 = (2·r - 13) × 4
2·r - 13 = 708/4 = 177
2·r = 177 + 13 = 190
r = 190/2 = 95
The faster of the faster train, r = 95 miles per hour
The rate of the slower train = 95 - 13 = 82 miles per hour
Learn more on distance, rate and time formula here: https://brainly.com/question/4931057
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