If a river flows through a valley with a gradient of 1 in 100, what is the verti

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Question: If a river flows through a valley with a gradient of 1 in 100, what is the vertical drop over a distance of 200 km? (2019)

Options:

Correct Answer: 400 m

Exam Year: 2019

Solution:

Vertical drop = Distance × Gradient = 200,000 m × (1/100) = 2000 m.

If a river flows through a valley with a gradient of 1 in 100, what is the vertical drop over a distance of 200 km? (2019)

If a river flows through a valley with a gradient of 1 in 100, what is the vertical drop over a distance of 200 km? (2019)

Step 1: Understand the gradient. A gradient of 1 in 100 means that for every 100 units of horizontal distance, there is a 1 unit vertical drop.
Step 2: Convert the distance from kilometers to meters. Since 1 kilometer equals 1000 meters, 200 kilometers equals 200,000 meters.
Step 3: Use the formula for vertical drop. The formula is: Vertical drop = Distance × Gradient.
Step 4: Plug in the values. Here, Distance is 200,000 meters and Gradient is 1/100.
Step 5: Calculate the vertical drop. Multiply 200,000 meters by (1/100) to get the vertical drop.
Step 6: Perform the calculation: 200,000 × (1/100) = 2000 meters.

Gradient Calculation – Understanding how to apply the gradient to calculate vertical drop over a given distance.
Unit Conversion – Converting kilometers to meters to ensure consistency in units during calculations.