A river flows through a valley with a gradient of 1:1000. If the river descends
Practice Questions
Q1
A river flows through a valley with a gradient of 1:1000. If the river descends 2 meters over a distance of 2000 meters, is the gradient consistent? (2022)
Yes
No
Not enough information
Depends on the soil type
Questions & Step-by-Step Solutions
A river flows through a valley with a gradient of 1:1000. If the river descends 2 meters over a distance of 2000 meters, is the gradient consistent? (2022)
Step 1: Understand what gradient means. Gradient is the ratio of vertical change (rise) to horizontal change (run).
Step 2: Identify the rise and run from the question. The rise is 2 meters (the descent of the river) and the run is 2000 meters (the distance over which this descent occurs).
Step 3: Calculate the gradient using the formula: Gradient = Rise / Run.
Step 4: Plug in the values: Gradient = 2 m / 2000 m.
Step 5: Simplify the fraction: 2 divided by 2000 equals 0.001.
Step 6: Convert the decimal to a ratio: 0.001 can be expressed as 1:1000.
Step 7: Compare the calculated gradient (1:1000) with the given gradient (1:1000).
Step 8: Since both gradients are the same, conclude that the gradient is consistent.
Gradient Calculation – Understanding how to calculate the gradient using the formula Rise/Run.
Consistency of Gradient – Determining if the calculated gradient matches the given gradient.