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Let the speed of train be ‘a’ and speed of bus be ‘b’.
Speed = distance/time
Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer
------- (1)
Also,
------- (2)
Multiplying eq1 by 5 and eq2 by 3 and subtracting eq2 from eq1
⇒ b = 80 km/hr
Thus, 60/a + 3 = 4
⇒ a = 60 km/hr
Hence speed of train is 60 km/h and bus is 80 km/h
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