Abdul travelled 300 km by train and 200 km by taxi, it took him 5 hours 30 minutes. But if he travels 260 km by train and 240 km by taxi he takes 6 minutes longer. Find the speed of the train and that of the taxi.
Let the speed of train be ‘a’ and speed of taxi be ‘b’.
Speed = distance/time
Abdul travelled 300 km by train and 200 km by taxi, it took him 5 hours 30 minutes. But if he travels 260 km by train and 240 km by taxi he takes 6 minutes longer.
------- (1)
Also, 
------- (2)
Multiplying eq1 by 6 and eq2 by 5 and subtracting eq2 from eq1
⇒ a = 100 km/hr
Thus, 3 + 200/b = 5.5
⇒ b = 80 m/hr
14