Two trains A and B start their journey from X and Y respectively towards each other. When they will cross each other then, train A and B will takes 16 hrs and 25 hrs respectively to reach their destination. The speed of train A is 30 km/hr. Find the distance between X and Y?

1080 km

\(\frac{S_{A} }{S_{B}}\) = \(\sqrt{\frac{t_{B}}{t_{A}}}\) \(\Rightarrow \) \(\sqrt{\frac{25}{16}}\) \(\Rightarrow \)\(\frac{5}{4}\)

Speed of A \(\Rightarrow \) 5 \(\longrightarrow \) 30 km/h (given)

Speed of B \(\Rightarrow \) 4 \(\longrightarrow \) 24 km/h

now distance \(\Rightarrow \) 30 km/h × 16 hrs + 24 km/h × 25

\(\Rightarrow \) 480 + 600

\(\Rightarrow \) 1080 km