Question Bank • QB_SWCE_EXP_026 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology

Subtopic: Hydrological cycle and measurement of its components

Question Statement:

A drainage basin has 3 rain gauges $A, B,$ and $C$ with Thiessen weights of $0.25, 0.45,$ and $0.30$ respectively. If the storm rainfall recorded at gauges $A, B,$ and $C$ are $40\text{ mm}, 60\text{ mm},$ and $80\text{ mm}$ respectively, the average storm rainfall over the basin in $\text{mm}$ is ________ (answer in integer).

Answer Key:

61

Step-by-Step Solution & Explanation

Thiessen polygon weighted average precipitation $\bar{P}$: $\bar{P} = \sum W_i P_i = (0.25 \times 40) + (0.45 \times 60) + (0.30 \times 80)$ $\bar{P} = 10.0 + 27.0 + 24.0 = 61.0\text{ mm}$
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