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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?

Respuesta :

ShyzaSling

Answer:

speed of train from station M = 85miles per hour

speed of train from station N = 90miles per hour

Step-by-step explanation:

Given that,

distance between two points M and N is 380 miles

Suppose speed of trainM is x

So speed of trainN 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 trainM

put the value in second train's speed

x + 5

85 + 5

= 90 mph for trainN

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