Let’s call the distance from city A to the point where the trains meet “x”. Then, the distance from city B to the point where the trains meet is 5519 - x.
We can use the formula:
distance = rate x time
to set up two equations, one for each train. Let’s use “t” to represent the time it takes for the trains to meet.
For the train starting in city A:
distance = rate x time x = 181t
For the train starting in city B:
distance = rate x time 5519 - x = 190t x = 5519 - 190t
Now we can set these two equations equal to each other, since they both represent the distance to the point where the trains meet:
181t = 5519 - 190t
Simplifying and solving for t:
371t = 5519 t = 14.87 hours
Now we can plug this value of t into either equation to find x:
x = 181t x = 181(14.87) x = 2698.47 km
Therefore, the trains will pass each other 2698.47 km from city A.
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