On a 80 km track ,a train travels 40 km with uniform speed of 30 km/h.How fast must the train travel next 40 km so as to have average speed 40 km/h for the entire trip.
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Average speed = Total distance / Total time
40 = 80 / (t1 + t2)
t1 + t2 = 2
40/30 + 40/v = 2 ……[∵ Time = Distance/Speed]
40/v = 2 - 4/3
40/v = 2/3
v = 60 kmph
Train should travel at the rate of 60 kmph for next 40 km
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