Sourav completes a journey in 5 hours 30 minutes. If he covers half of the distance at 5 km/h and the remaining distance at 6 km/h, then find the total distance covered by him.

30 km

Journey Time = 5 hours 30 minutes

Assume Journey Distance = D

Speed for first D/2 Distance = 5 km/hr

Time taken T1 = (D/2)/5 = D/10

Speed for another D/2 Distance = 6 km/hr

Time Taken T2 = (D/2)/6 = D/12

Total Time = T1 +T2 = 5.5 hours

D/10 + D/12 = 5.5

(6D+5D)/60 = 5.5

11D = 330

D = 30 km

The correct answer is Option (1) → 30 km