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On a map, 0.75 centimeter shows 187.5 kilometres on the ground. If two cities are actually 3500 kms apart on the ground, then the distance between them on the map is:
- a)11 cm
- b)14 cm
- c)17 cm
- d)20 cm
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
On a map, 0.75 centimeter shows 187.5 kilometres on the ground. If two...
Understanding the Scale of the Map
To find the distance between the two cities on the map, we first need to understand the scale provided.
Given Information:
- Map Distance: 0.75 cm represents 187.5 km on the ground.
Finding the Scale Factor:
1. Calculate Distance per Centimeter:
- The scale tells us that 0.75 cm = 187.5 km.
- To find out how many kilometers correspond to 1 cm, we divide:
- 187.5 km / 0.75 cm = 250 km/cm.
Calculating the Map Distance for 3500 km:
2. Determine the Total Distance on the Map:
- Now that we know 1 cm represents 250 km, we need to find out how many centimeters 3500 km would be.
- Use the formula:
- Distance on map (cm) = Actual distance (km) / Distance per cm (km/cm).
- Plugging in the values:
- Distance on map = 3500 km / 250 km/cm = 14 cm.
Conclusion:
The distance between the two cities on the map is 14 cm.
Therefore, the correct answer is option 'B'.
To find the distance between the two cities on the map, we first need to understand the scale provided.
Given Information:
- Map Distance: 0.75 cm represents 187.5 km on the ground.
Finding the Scale Factor:
1. Calculate Distance per Centimeter:
- The scale tells us that 0.75 cm = 187.5 km.
- To find out how many kilometers correspond to 1 cm, we divide:
- 187.5 km / 0.75 cm = 250 km/cm.
Calculating the Map Distance for 3500 km:
2. Determine the Total Distance on the Map:
- Now that we know 1 cm represents 250 km, we need to find out how many centimeters 3500 km would be.
- Use the formula:
- Distance on map (cm) = Actual distance (km) / Distance per cm (km/cm).
- Plugging in the values:
- Distance on map = 3500 km / 250 km/cm = 14 cm.
Conclusion:
The distance between the two cities on the map is 14 cm.
Therefore, the correct answer is option 'B'.
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Community Answer
On a map, 0.75 centimeter shows 187.5 kilometres on the ground. If two...
The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground.
There are at least three ways in which this relationship can be expressed.
These are:
There are at least three ways in which this relationship can be expressed.
These are:
- Statement of Scale
- Representative Fraction (R. F.)
- Graphical Scale
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