Allied & ICAR Exam Bank • ALLIED_0397 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology and Runoff

Subtopic: Hydrology and Runoff

Question Statement:

A watershed has three raingauge stations with recorded precipitation $P_1 = 60\text{ mm}$, $P_2 = 80\text{ mm}$, and $P_3 = 100\text{ mm}$. The Thiessen polygon areas are $A_1 = 20\text{ km}^2$, $A_2 = 50\text{ km}^2$, and $A_3 = 30\text{ km}^2$. The mean areal precipitation in mm is:

Answer Key:

82

Step-by-Step Solution & Explanation

Total area $A = 20 + 50 + 30 = 100\text{ km}^2$. $\bar{P} = \frac{60(20) + 80(50) + 100(30)}{100} = \frac{1200 + 4000 + 3000}{100} = \frac{8200}{100} = 82.0\text{ mm}$.
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