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?
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.
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