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GATE 2024 ES – Question 55

Water Resources and Environmental Hydraulics · Surface Water Resources · 2 marks · Numerical answer

Find watershed-average rainfall from the shown isohyet map, in integer mm.

Diagram for GATE 2024 ES question 55

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Correct answer: 20 to 20

Explanation

The middle rectangle is 2 km wide and 2 km high, area 4 km²,between 20 mm isohyets, so assign20 mm. Each triangular end has area 1 km². The upper triangle lies between 20 and 30 mm, mean25; the lower between 10 and 20 mm, mean15. Area-weighted rainfall is $[4(20)+1(25)+1(15)]/6=\mathbf{20}$ mm.

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