On a tourist map, 1 cm represents 80 km. Two towns are 12.5 cm apart on the map. What is the real distance between the towns?
Answer
1000 km
The correct answer is 1000 km — Hence the real distance is 1000 km.
Step-by-step solution
- The scale is 1 cm : 80 km, so every centimetre on the map equals 80 km in reality.
- Real distance = map distance × scale factor.
- Multiply 12.5 cm × 80 km/cm = 1000 km.
- Hence the real distance is 1000 km.
Common mistake: multiplying the wrong way or using 80 as the divisor instead of multiplier.
Concept tested: scale and proportion
Published · How this solution was prepared and checked
← All Ratio and Proportion questions