Train from Prague

First train from Prague started at 8:00 hour at 40 kilometers per hour. Train from Ostrava started at 9:20 at 80 km per hour. In how many hours and how far from cities with trains meet if the distance of cities is 400 km.

Result

t = 12:13 h Wrong answer
p =  168.8889 km
o =  231.1111 km

Solution:


p+o = 400
p = 40(t-8)
o = 80(t-(9+20/60))


p+o = 400
p = 40•(t-8)
o = 80•(t-(9+20/60))

o+p = 400
p-40t = -320
60o-4800t = -44800

o = 20809 ≈ 231.111111
p = 15209 ≈ 168.888889
t = 1109 ≈ 12.222222

Our linear equations calculator calculates it.



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