A train is booked to do the run between two places, 55km apart in 1 hour 20 minute. If
it travels for the first 30 km at 36 km/h, at what speed must it travel for the rest of the
distance in order to complete the journey in time.
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The speed at which the train must cover the remaining distance is 50 km/hr.
Given:
Total distance between the trains = 55 km
Total time to be taken by the train = 1 hr 20 min = 1.333 hr. (Converting time in hours)
Speed of the train to cover first 30 km = 36 km/hr.
Time taken by the train to cover the first 30 km distance = 30/36 = 0.833 hr
Remaining distance = 55 - 30 = 25 km
Remaining time = 1.333 - 0.833 = 0.5 hr.
Now, speed = Distance / time
Speed = 25 / 0.5 = 50 km/hr
The train must travel at a speed of 50 km/hr to complete the rest of the journey in time.
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