Meeting problem

In 17h 33 min train In Paris (France) started moving toward Madrid (Spain) with velocity 140 km/h, while second train in 18h 0min started moving from Madrid toward Paris with velocity 120 km/h. Distance between Paris and Madirid is 1100 km. When and where will theese trains meet?

d=1100 km
v₁=140 km/h
v₂=120 km/h
t₁=17h 33min
t₂=18h 00min

Solution:

Trains will meet in time t far s₁ from Paris. In the meeting time first train will pass s₁=v₁(t-t₁), while the second train is far from initial position s₂=v₂(t-t₂).
These two paths together make distance d: s₁+s₂=d whic makes
v₁t-v₁t₁+v₂t-v₂t-v₂t₂=d












t=17h 33 min+ 4h 26 min = 21h 59 min

Place of meeting is far from Paris:
s₁=v₁(t-t₁) =621,32 km