Respuesta :
Speed of northbound train is 50 mph and speed of southbound train is 100 mph
Solution:
Let "s" be the speed of northbound train
Given that the other traveled south at twice that speed
Then, 2s is the speed of south bound train
After 4 hours, the trains were 600 miles apart
Since the train has left station at same time,
Distance = 600 miles
Time taken = 4 hours
Distance is given by formula:
[tex]Distance = speed \times time[/tex]
Therefore,
[tex]s \times 4 + 2s \times 4 = 600\\\\4s + 8s = 600\\\\12s = 600\\\\s = 50[/tex]
Thus speed of northbound train is 50 mph
Speed of southbound train = 2s = 2(50) = 100 mph
Thus speed of southbound train is 100 mph
