Question

On a 120 km track, a train travels the first 30km at a uniform speed of 30 km/hr.
How fast must the train travel the next 90 km so as to average 60km/hr for the entire
trip.
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Answer 1

Answer:

Explanation:

Total distance = 120 km

Initial distance covered = 30 km

Speed by which initial distance covered = 30 km/hr

Therefore time taken to cover the distance of 30 km = 1 hr

Average speed needed for the entire trip = 60 km/hr

Total time to be taken to cover 120 km = 120/60 = 2 hours

Remaining distance to be covered = 120 - 30 = 90 km

Time to be taken to cover the remaining distance of 90 km = 2 hr - 1 hr

= 1 hour

Therefore, speed needed for the remaining distance of 90 km = 90 km/hr

Hence, the train must travel the next 90 km at the speed of 90 km/hr so as to have an average of 60 km/hr for the entire journey.

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