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On a 60km straight road a bus travels the 30km with a uniform speed of 30km/h. How much fast the bus travels the next 30km. So as to have average speed of

We know that, av. speed=total distance/total time---------------------(1) av. speed=40 km/hr total distance=60 km/hrs let take t₁ as time taken for first 30 km and t₂ for last 30 km speed =distance/time , time=distance/speed-------------------------------(2) t₁=30/30=1 hrs putting in formula (1)

40=60/1+t₂ 1+t₂=60/40 1+t₂=3/2 t₂=3/2-1=3-2/2=1/2 hrs putting value of t₂ in formula----------(2) 1/2=30/required speed required speed=30×2=60 km/hr