Problema Solution
Two trains simultaneously left points M and N and headed towards each other. The distance between point M and point N is 380 mi. The speed of the train, which started, from point N was 5 mph faster than the speed of the other train. In two hours after the departure the distance between the trains was 30 mi. What is the speed of each train?
Answer provided by our tutors
Let
v = the speed of the train that started from point M
v + 5 = the speed of the train that started from point n
d = 380 mi
t = 2 hr
Since distance = speed*time we can write:
vt + (v + 5)t + 30 = d
2v + 2(v + 5) + 30 = 380
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click here to see the equation solved for v
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v = 85 mph
v + 5 = 85 + 5 = 90 mph
The speed of the train that started from point M is 85 mph while the speed of the other train, from point N, is 90 mph.