Two ports

Between the ports of Mumraj and Zmatek, two ships commute along the same route. They spend negligible time in ports, turn around immediately and continue sailing. At the same time, a blue ship departs from the port of Mumraj, and a green ship departs from the port of Zmatek. For the first time, the ships pass 20 km from the port of Mumraj, and after some time they meet directly in this port. The blue ship had already managed to cross the route between the ports four times, while the green ship only managed three times. How long is the route between the ports of Mumraj and Zmatek?

Correct result:

s =  35 km

Solution:

s1=20 km s1=v1 t s2=v2 t s=s1+s2  s1:s2=v1:v2  T=v14s=v23s  T=v14=v23  v14=v23 v1:v2=4:3  s1:s2=v1:v2=4:3  s2=s1 34=20 34=15 km  s=s1+s2=20+15=35 km



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