The speed is the distance covered by an object at a particular time. The speed of Northbound and southbound train is 50 miles per hour and 100 miles per hour.
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance × Time
Given that two trains left a station at the same time. Therefore, the initial distance between the two trains at the beginning will be 0.
Now, let the speed of the train moving toward the north be represented by x. Then, the speed of the train moving towards the south will be 2x. Therefore, the distance traveled by the two trains in 4 hour will be,
Distance traveled by Northbound train = speed × Time
= x × 4
= 4x
Distance traveled by Southbound train = speed × Time
= 2x × 4
= 8x
Further, the distance between the two trains after 4 hours is 600 miles, therefore, the distance between the two trains together can be written as,
Distance between two trains = Distance traveled by Northbound train + Distance traveled by Southbound train
600 miles = 4x + 8x
600 miles = 12x
x = 600/12
x = 50 miles per hour
Furthermore, the speed of each train will be,
Speed of Northbound train = x = 50 miles per hour
Speed of Southbound train = 2x = 2(50) = 100 miles per hour
Hence, the speed of Northbound and southbound train is 50 miles per hour and 100 miles per hour.
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