A section of the Western Ghats rises from a base at 200 m above sea level to a peak at 1,800 m over a horizontal distance of 150 km. Calculate the average gradient of this section in metres per kilometre.
Answer
10.67 m/km
The correct answer is 10.67 m/km — Round to two decimal places: 10.67 m/km.
Step-by-step solution
- Compute vertical rise: 1,800 m − 200 m = 1,600 m.
- Convert horizontal run to kilometres: 150 km remains 150 km.
- Calculate gradient: rise ÷ run = 1,600 m ÷ 150 km = 10.666… m/km.
- Round to two decimal places: 10.67 m/km.
Common mistake: Dividing by wrong unit (m vs km)
Concept tested: Gradient of mountain range
Published · How this solution was prepared and checked
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