Let the speed of train be ‘a’ and speed of car be ‘b’.

Speed = distance/time

Given, Ramesh travels 760 km to his home partly by train and partly by car. He takes 8 hours if he travels 160 km by train and the rest by car. He takes 12 minutes more if the travels 240 km by train and the rest by car.

------- (1)

Also,

⇒ 240/a + 520/b = 41/5 ----- (2)

Multiplying eq1 by 3 and eq2 by 2 and subtracting eq2 from eq1

⇒ b = 100 km/hr

Thus, 160/a + 6 = 8

⇒ a = 80 km/hr