Using the concept of relative velocity:
Total distance-240 m
When going in same direction
\(\frac{240}{x-y}=60\)
x-y=4
When going in different direction
\(\frac{240}{x-y}=3\)
x+y=80
On solving the equations we get,
x=42 and y=38 Speed of faster train is \(\frac{42m}{s}\)
and slower one is \(\frac{38m}{s}\).So the correct option is (A) : .