A map of a district has a scale of 1 : 100 000. The straight line distance between the towns of A and B on the map is 3.8 cm. A traveller walks at a speed of 4 km/h. Estimate how many minutes it will take the traveller to walk from town A to town B, assuming the real distance is as shown on the map.
Answer
57 minutes
The correct answer is 57 minutes — Therefore the traveller needs about 57 minutes.
Step-by-step solution
- Convert the map distance to real distance: 1 cm = 100 000 cm = 1 km, so 3.8 cm = 3.8 km.
- Compute travel time: time = distance ÷ speed = 3.8 km ÷ 4 km/h = 0.95 h.
- Convert hours to minutes: 0.95 h × 60 min/h = 57 min.
- Therefore the traveller needs about 57 minutes.
Common mistake: Ignoring the scale or converting incorrectly, leading to wrong distance before computing time.
Concept tested: Map distance to real distance and travel time estimation
Published · How this solution was prepared and checked
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