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The scale of a map is 1: 50 000 000.The actual distance between two towns is 250 km.What is the distance on the map between the two towns?

Question

The scale of a map is 1: 50 000 000. The actual distance between two towns is 250 km. What is the distance on the map between the two towns?

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Solution

To solve this problem, we need to understand that the scale of the map means 1 unit (it could be any unit - inch, cm, etc.) on the map represents 50,000,000 units in reality.

Step 1: Convert the actual distance to the same unit as the scale. In this case, we need to convert kilometers to meters because the scale is in meters. We know that 1 km = 1000 m, so 250 km = 250,000 m.

Step 2: Use the scale to find the distance on the map. The scale is 1:50,000,000, which means 1 unit on the map equals 50,000,000 units in reality. So, to find the distance on the map, we divide the actual distance by the scale.

So, 250,000 m / 50,000,000 = 0.005 units on the map.

Therefore, the distance between the two towns on the map is 0.005 units.

This problem has been solved

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