A train approaches a tunnel AB, where a cat is located at a point 3 8 \frac{3}{8} 8 3 of the total distance AB from entrance A. When the train whist...
Question
A train approaches a tunnel AB, where a cat is located at a point
of the total distance AB from entrance A. When the train whistles, the cat starts running. If the cat runs towards entrance A, the train catches it exactly at A. If the cat runs towards exit B, the train catches it exactly at B. Determine the ratio of the speed of the train to that of the cat.