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Excluding stoppages, the average speed of a train is 40 km/h;, while including stoppages, it reduces to 30 km/h. For how many minutes does the train stop every hour?

Question

Excluding stoppages, the average speed of a train is 40 km/h;, while including stoppages, it reduces to 30 km/h. For how many minutes does the train stop every hour?

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Solution

To solve this problem, we first need to understand that the difference in speed is due to the time the train stops.

  1. The train travels at 40 km/h without stoppages and 30 km/h with stoppages. This means that every hour, the train "loses" 10 km due to stoppages (40 km/h - 30 km/h = 10 km/h).

  2. Now, we need to find out what fraction of an hour is lost due to stoppages. To do this, we divide the "lost" speed by the speed without stoppages: 10 km/h ÷ 40 km/h = 0.25. This means that 0.25 of an hour is lost every hour due to stoppages.

  3. To convert this fraction of an hour into minutes, we multiply by 60 (since there are 60 minutes in an hour): 0.25 * 60 = 15 minutes.

So, the train stops for 15 minutes every hour.

This problem has been solved

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