Answer :
The time at which the passenger train is 61.5 miles west of Kalamazoo and the freight train is now 49.5 miles east of Kalamazoo 4:10 pm
Formula for speed
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let a represent the speed passenger train and b for the freight train.
The passenger train averages 16 miles per hour faster than the freight train, hence:
a = b + 16 (1)
Also:
a = 61.5/t
t = 61.5/a
b = 49.5/t
t = 49.5/b
61.5/a = 49.5/b
61.5b = 49.5a (2)
From both equations:
a = 82 mph, b = 66 mph
t = 61.5/82 = 0.75 hour = 45 minutes
Time = 3:25 p.m + 45 minutes = 4:10 pm
The time at which the passenger train is 61.5 miles west of Kalamazoo and the freight train is now 49.5 miles east of Kalamazoo 4:10 pm
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