SOLUTION: Two railroad tracks intersect at right angles at station O. At 10AM the train A, moving west with constant speed of 50 km/h, leaves the station O. One hour later train B, moving so
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Question 900494: Two railroad tracks intersect at right angles at station O. At 10AM the train A, moving west with constant speed of 50 km/h, leaves the station O. One hour later train B, moving south with the constant speed of 60 km/h, passes through the station O. Find minimum distance between these trains
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Two railroad tracks intersect at right angles at station O. At 10AM the train A, moving west with constant speed of 50 km/h, leaves the station O. One hour later train B, moving south with the constant speed of 60 km/h, passes through the station O. Find minimum distance between these trains
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t = 0 at 1000
ds/dt = (1/2)(12200t - 7200)/sqrt(6100t^2 - 7200t + 3600)}}} = 0
12200t = 7200
t = 0.59016 hours past 1000
t =~ 10:35:24.6
=====================
At that time,
s =~ 38.411 km
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