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A passenger train running at the speed of 75 km/hr leaves the railway station 9 hours after a goods train leaves and overtakes it in 6 hours. The sp
Question

A passenger train running at the speed of 75 km/hr leaves the railway station 9 hours after a goods train leaves and overtakes it in 6 hours.
The speed of the goods train is

A.

35 km/hr

B.

32 km/hr

C.

30 km/hr

D.

28 km/hr

Correct option is C

Speed of the goods train = x km/hr.
In 6 hours, the passenger train covers = 75 × 6 = 450 km 
Distance Covered by the goods train = x × 15 = 15x km in 15 hours.
Thus, 15x = 450
x = 450/15 = 30 km/hr
∴ The speed of the goods train is 30 km/hr.

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