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A catchment consists of 30% area with runoff coefficient 0.40 and the remaining 70% area with runoff coefficient 0.60. The equivalent runoff coefficient will be
  • a)
     0.48
  • b)
     0.54
  • c)
     0.63
  • d)
     0.76
Correct answer is option 'B'. Can you explain this answer?
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A catchment consists of 30% area with runoff coefficient 0.40 and the ...
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A catchment consists of 30% area with runoff coefficient 0.40 and the ...
Given:
- Catchment area consists of 30% area with runoff coefficient 0.40 and 70% area with runoff coefficient 0.60.

To find: Equivalent runoff coefficient.

Solution:
Step 1: Calculate the weighted average of runoff coefficients.

Weighted average formula = (Area 1 x Runoff coefficient 1 + Area 2 x Runoff coefficient 2) / (Area 1 + Area 2)

Where,
Area 1 = 30% of total area
Runoff coefficient 1 = 0.40
Area 2 = 70% of total area
Runoff coefficient 2 = 0.60

Putting values in the formula, we get

Weighted average = (0.30 x 0.40 + 0.70 x 0.60) / (0.30 + 0.70)
= 0.54

Therefore, the equivalent runoff coefficient is 0.54.

Answer: Option B (0.54)
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Community Answer
A catchment consists of 30% area with runoff coefficient 0.40 and the ...
(30/100)*0.40+(70/100)*0.60

0.12+0.42=0.54
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A catchment consists of 30% area with runoff coefficient 0.40 and the remaining 70% area with runoff coefficient 0.60. The equivalent runoff coefficient will bea)0.48b)0.54c)0.63d)0.76Correct answer is option 'B'. Can you explain this answer?
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