Question

A given zone is characterized in the following tables in terms of household size, and vehicle ownership. Table I shows the trip rates of households, and Table II shows the household composition. For households of size two and above, having one or more vehicles, the total daily home-based trips made are \underline{\hspace{1cm}} [in integer].

Hint:

Always filter the households based on the exact conditions given (in this case, size ≥ 2 and vehicles ≥ 1). Multiply household numbers by trip rates, then sum for the final answer.

Answer 1

Step 1: Problem Interpretation.
\nThe objective is to calculate the total daily home-based trips for: \n- Households with a size of two or more persons (i.e., 2 persons or 3+ persons). \n- Households possessing one or more vehicles (i.e., categories "One (1)" and "Two & above (2+)"). \n\nData from Table I (trip rates per household) and Table II (number of households) will be utilized. \n\n \n

Step 2: Data Extraction. \n\nFrom Table I – Trip rate of households: \n\[\n\begin{array}{|c|c|c|}\n\hline\n\text{Vehicles/household} & \text{Two (2)} & \text{Three & above (3+)}
\n\hline\n\text{One (1)} & 2.5 & 5
\n\text{Two & above (2+)} & 3 & 6
\n\hline\n\end{array}\n\] \n\nFrom Table II – Household composition: \n\[\n\begin{array}{|c|c|c|}\n\hline\n\text{Vehicles/household} & \text{Two (2)} & \text{Three & above (3+)}
\n\hline\n\text{One (1)} & 300 & 200
\n\text{Two & above (2+)} & 100 & 50
\n\hline\n\end{array}\n\] \n\n \n

Step 3: Trip Calculation (Households × Trip Rate). \n\n\[\n\text{Case 1: One vehicle, Two persons} = 300 \times 2.5 = 750\n\] \n\[\n\text{Case 2: One vehicle, Three+ persons} = 200 \times 5 = 1000\n\] \n\[\text{Case 3: Two+ vehicles, Two persons} = 100 \times 3 = 300\n\] \n\[\text{Case 4: Two+ vehicles, Three+ persons} = 50 \times 6 = 300\n\] \n\n \n

Step 4: Total Trip Summation. \n\[\n\text{Total Trips} = 750 + 1000 + 300 + 300 = 2350\n\] \n\nVerification required. \n\n \n

Step 5: Detailed Verification with Table II. \n\n- One vehicle, Two persons: \(300 \times 2.5 = 750\) \n- One vehicle, 3+ persons: \(200 \times 5 = 1000\) \n- Two+ vehicles, Two persons: \(100 \times 3 = 300\) \n- Two+ vehicles, 3+ persons: \(50 \times 6 = 300\) \n\nSum: \(2350\). \n\n \n

Final Result: \n\[\n\boxed{2350}\n\]