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Chapter Reference
82
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?

The speed of one train is mph, the speed of another train is mph.

Respuesta :

Answer:

Speed of train from station M = 85 miles per hour

Speed of train from station N = 90miles per hour

Step-by-step explanation:

Given that the distance between two points M and N is 380 miles

Suppose the speed of train M is x

So, the speed of train N is 5 + x

Formula to use:

distance = speed x time

For the train from point M

d = x * 2

d = 2x

For the train from point N

d = (5 + x) * 2

the above 2 distances plus 30 miles equals 380 miles

Equation:

2x + 2(x+5) + 30 = 380

2x + 2x + 10 + 30 = 380

4x + 40 = 380

4x = 380 - 40

4x = 340

x = 340/4

x = 85 mph for train M

Now put the value in the second train's speed

x + 5

85 + 5

= 90 mph for train N

(https://brainly.com/question/12233662)