Problema Solution
An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 4 miles per hour faster than the westbound train. After 2.5 hours, they are 360 miles apart. At what speeds are the two trains traveling?
The eastbound train is traveling_____mph
The westbound train is traveling_____ mph.
Answer provided by our tutors
Let
'x' be the eastbound train speed
'y' be the westbound train speed
x = y + 4 (eastbound train travels 4 miles per hour faster than the westbound train)
speed = distance / time
distance = speed * time
2.5*x + 2.5*y = 360 (after 2.5 hours, they are 360 miles apart)
solve the system
x = y + 4
2.5*x + 2.5*y = 360
x = 74 mph
y = 70 mph
The eastbound train is traveling 74 mph
The westbound train is traveling 70 mph.