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 49 hrs and 36 hrs respectively to reach their destination. The speed of train A is 36 km/hr. Find the distance between X and Y?

3276 km

\(\frac{S_{A} }{S_{B}}\) = \(\sqrt{\frac{t_{B}}{t_{A}}}\) \(\Rightarrow \) \(\sqrt{\frac{36}{49}}\) \(\Rightarrow \)\(\frac{6}{7}\)

Speed of A \(\Rightarrow \) 6 \(\longrightarrow \) 36 km/h (given)

Speed of B \(\Rightarrow \) 7 \(\longrightarrow \) 42 km/h

now distance \(\Rightarrow \) 36 km/h × 49 hrs + 42 km/h × 36

\(\Rightarrow \) 1764 + 1512

\(\Rightarrow \) 3276 km