Two trains

Two trains departed from City A and City B against each other. They met after some time. The first train then took 9 hours to reach city B, and the second train took 4 hours to reach city A. In what proportion were the train speeds?

Correct result:

r =  2:3

Solution:

r=v1:v2  s=s1+s2  s1=v1 t s2=v2 t  s2=9v1 s1=4v2  4v2=v1 t 9v1=v2 t  9v14v2=v2v1 9v124v22=1 v12v22=49 v1v22=49 v1v2=49=23  r=v1v2 r=2:3=230.6667



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