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Two trains start moving at the same time from two stations towards each other at 50 km h-' and 65 km h-' respectively. When they meet, one train has travelled 52.5 km more than the other.Find the distance between the two stations. |
| Answer» TWO trains start moving at the same time from two stations towards each other at 50 KM h-' and 65 km h-' respectively. When they meet, one train has travelled 52.5 km more than the other.To find : Distance between the two stations Solution : Two trains start moving at the same time from two stations towards each other.★ SPEED of FIRST train (A) = 50 km/h ★ Speed of second train (B) = 65 km/h When they meet, one train has travelled 52.5 km more than the other.Let the distance of first train be x & second train be (52.5 + x)As we know that In the case of train A ★ Speed = distance/time→ Time = Distance/speed → T1 = x/50 In the case of train B → Time = Distance/speed→ T2 = 52.5 + x/65Compare the both equations → x/50 = 52.5 + x/65 → 50(52.5 + x) = 65x → 2625 + 50X = 65x→ 2625 = 65x - 50x→ 2625 = 15x → x = 2625/15→ x = 175•°• Distance travelled by train A = 175 km•°• Distance travelled by train B = 52.5 + 175 = 227.5km_______________________________The distance between the two stations★ Distance travelled by train A + Distance travelled by B → 175 + 227.5→ 402.5 km•°• Distance between the two station = 402.5km_______________________________ | |