Question

A train travels the first 30 kilometre of 120 kilometre track with a uniform speed of 30 kilometre per hour what should be the speed to cover the remaining distance of the track so that its average speed is 60 kilometre for entire trip

Answer 1

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Answer 2

average speed =

total distance/total time

train travells 30 km by 30 km/hr so time taken =30/30=1hr

let remaining speed is y then time for remained journey = (120-30)/y

average speed = 120/(1+90/y )

given that average speed = 60 so

60=120/(1+90/y) after solving this we get y=90km/hr which is required