on a 60 km track a train covers 30 km with a uniform speed of 30 km/h how fast must the train travel to the next 30 km so as to average 40 km/h for the entire trip?

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Solution

Total distance travelled = 60 km
First 30 km it travels at speed 30 km/h. Time taken = 30/30 = 1 h
Suppose the next 30 km is travelled at speed x km/h. Time taken = 30/x h
Average speed = total distance/total time
=> 40 = 60/(1 + 30/x)
=> x = 60 km/h

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on a 60 km track a train covers 30 km with a uniform speed of 30 km/h how fast must the train travel to the next 30 km so as to average 40 km/h for the entire trip?

Total distance travelled = 60 kmFirst 30 km it travels at speed 30 km/h. Time taken = 30/30 = 1 hSuppose the next 30 km is travelled at speed x km/h. Time taken = 30/x hAverage speed = total distance/total time=> 40 = 60/(1 + 30/x)=> x = 60 km/h

Total distance travelled = 60 km
First 30 km it travels at speed 30 km/h. Time taken = 30/30 = 1 h
Suppose the next 30 km is travelled at speed x km/h. Time taken = 30/x h
Average speed = total distance/total time
=> 40 = 60/(1 + 30/x)
=> x = 60 km/h