Distance between two stations a and b is 778

Asked by admin @ in Math viewed by 259 People

Distance between two stations a and b is 778 km. a train covers the journey from a to b at 84 km per hour and returns back to a with a uniform speed of 56km per hour. find the average speed of the train during the whole journey?

Answered by admin @


For the same distance covered, the average speed is given by :

Avg speed = 2*a*b/(a+b), where a & b are respective speeds.

Avg speed = 2*84*56/(84+56) = 2*84*56/140 = 2*84*4/10 = 67.2 kmph

Alternatively, you can also do by: Avg speed = Tot dist/Total time
Avg speed = (778+778)/(778/84 + 778/56) = 1556/23.154 = 67.2 kmph

Hope this helps

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