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The drainage discharge of a town of 10 hectares area, consisting of 50% cc paved (k = 1.0), 30% unpaved (k = 0.20) and remaining as wooded (k = 0.10) with a maximum rain intensity of 5 cm/hr, would be computed by Rational formula, as equal to ----
  • a)
    0.81 cumec
  • b)
    0.91 cumec
  • c)
    0.71 cumec
  • d)
    0.88 cumec
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The drainage discharge of a town of 10 hectares area, consisting of 50...
Overall, co-efficient of runoff (K or I)

 
Discharge, Q = AIR/360
A = Area in hectares
R = Intensity of rainfall in mm/hr
I = Co-efficient of run-off.
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Most Upvoted Answer
The drainage discharge of a town of 10 hectares area, consisting of 50...
Rational Formula and Calculation:
The Rational formula is expressed as Q = CIA, where Q is the drainage discharge, C is the runoff coefficient, I is the rainfall intensity, and A is the area of the catchment.

Given:
Area of town = 10 hectares
Paved area = 50% of 10 hectares = 5 hectares
Unpaved area = 30% of 10 hectares = 3 hectares
Wooded area = remaining = 2 hectares
Maximum rain intensity = 5 cm/hr

Calculation:
Total area of catchment = 10 hectares = 100,000 sq.m

For paved area:
C = runoff coefficient = 1.0
I = rainfall intensity = 5 cm/hr = 0.05 m/hr
A = area of paved area = 5 hectares = 50,000 sq.m

For unpaved area:
C = runoff coefficient = 0.20
I = rainfall intensity = 5 cm/hr = 0.05 m/hr
A = area of unpaved area = 3 hectares = 30,000 sq.m

For wooded area:
C = runoff coefficient = 0.10
I = rainfall intensity = 5 cm/hr = 0.05 m/hr
A = area of wooded area = 2 hectares = 20,000 sq.m

Using the Rational formula:
Q = CIA
Q = (1.0 x 50,000 x 0.05) + (0.20 x 30,000 x 0.05) + (0.10 x 20,000 x 0.05)
Q = 2,500 + 300 + 1000
Q = 3,800 cubic meters per hour (cumec)

Therefore, the drainage discharge of the town is 0.81 cumec (rounded off to two decimal places). The correct answer is option 'A'.
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The drainage discharge of a town of 10 hectares area, consisting of 50% cc paved (k = 1.0), 30% unpaved (k = 0.20) and remaining as wooded (k = 0.10) with a maximum rain intensity of 5 cm/hr, would be computed by Rational formula, as equal to ----a)0.81 cumecb)0.91 cumecc)0.71 cumecd)0.88 cumecCorrect answer is option 'A'. Can you explain this answer?
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The drainage discharge of a town of 10 hectares area, consisting of 50% cc paved (k = 1.0), 30% unpaved (k = 0.20) and remaining as wooded (k = 0.10) with a maximum rain intensity of 5 cm/hr, would be computed by Rational formula, as equal to ----a)0.81 cumecb)0.91 cumecc)0.71 cumecd)0.88 cumecCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The drainage discharge of a town of 10 hectares area, consisting of 50% cc paved (k = 1.0), 30% unpaved (k = 0.20) and remaining as wooded (k = 0.10) with a maximum rain intensity of 5 cm/hr, would be computed by Rational formula, as equal to ----a)0.81 cumecb)0.91 cumecc)0.71 cumecd)0.88 cumecCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The drainage discharge of a town of 10 hectares area, consisting of 50% cc paved (k = 1.0), 30% unpaved (k = 0.20) and remaining as wooded (k = 0.10) with a maximum rain intensity of 5 cm/hr, would be computed by Rational formula, as equal to ----a)0.81 cumecb)0.91 cumecc)0.71 cumecd)0.88 cumecCorrect answer is option 'A'. Can you explain this answer?.
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