In storm drainage design, the time of concentration is best defined as which of the following?
-
AThe time taken for precipitation to begin over the catchment
-
BThe duration of the rainfall event
-
CThe time taken for all runoff to reach the drain after the storm has ended
-
DThe travel time for storm water from the hydraulically most remote point of the catchment to the inlet/outlet
Answer
Correct Answer: The travel time for storm water from the hydraulically most remote point of the catchment to the inlet/outlet
Explanation
Introduction: Time of concentration (Tc) controls design rainfall intensity in rational and unit-hydrograph methods. It represents the longest travel path governing the response time of a catchment.
Given Data / Assumptions:
- We need the operational definition used in hydrologic design.
- Remote point refers to the point with the maximum travel time to the outlet.
Concept / Approach: Tc is the time for a drop of water to travel from the hydraulically most remote point in the watershed to the outlet. For storms with duration ≥ Tc, the entire catchment contributes to peak flow; for shorter storms, only parts near the outlet contribute at the same instant.
Step-by-Step Solution: Eliminate definitions about storm onset or generic duration—they do not define Tc. Select the path-based travel-time definition tied to hydraulics and topography. Choose the statement referencing the most remote point to the drain/outlet.
Verification / Alternative check: Empirical Tc formulas (Kirpich, NRCS) compute travel times from flow paths and slopes, consistent with this definition.
Why Other Options Are Wrong:
- Storm start/duration: meteorological, not hydraulic response definitions.
- All runoff reaching after the storm: not the standard definition of Tc.
Common Pitfalls:
- Confusing basin lag time with Tc; they are related but not identical.
Final Answer: The travel time for storm water from the hydraulically most remote point of the catchment to the inlet/outlet.