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Question

A train travels the first 20 km of its journey at a speed of 60 km/hr and the next 40 km at a speed of 80 km/hr. Calculate the average speed of the train for the entire journey.

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Solution

First 20 km is traveled at 60 km/h. The time taken is = 20/60 = (1/3) h

Next 40 km is traveled at 80 km/h. The time taken is = 40/80 = (1/2) h

So, total time of travel is = (1/3) + (1/2) = (5/6) h

The total distance travelled is = 20 + 40 = 60 km

Thus, the average speed is = 60/(5/6) = 72 km/h


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