Question

A city aims to introduce Metro rail as a sustainable public transport, with a projected daily ridership of 3,67,200 which is expected to shift 18% of the daily trips from other existing modes. The existing modal share (in percentage) is shown in the figure. If half of the above modal shift is expected to replace trips by Motorised Two-wheeler and Motorised Four-wheeler in 2:1 ratio, the trips only by Motorised Two-wheeler, post modal shift to Metro is _________ (answer in integer)

Hint:

When dealing with modal shift problems, break down the problem into smaller steps, starting from total trips and then applying the given ratios and percentages.

Answer 1

Given:
Projected daily ridership of Metro = 3,67,200
Percentage of daily trips expected to shift to Metro = 18%
Modal shift is expected to replace trips by Motorised Two-wheeler and Motorised Four-wheeler in a 2:1 ratio.
Step 1: Calculate the total trips shifting to Metro: \[ \text{Trips shifting to Metro} = 18\% \times 3,67,200 = 0.18 \times 3,67,200 = 66,096 \] Step 2: Half of the trips shifting to Metro replace trips by Motorised Two-wheeler and Motorised Four-wheeler in a 2:1 ratio: \[ \text{Half of the trips shifting} = \frac{66,096}{2} = 33,048 \] Step 3: The trips are split in a 2:1 ratio: \[ \text{Motorised Two-wheeler trips} = \frac{2}{3} \times 33,048 = 22,032 \] Thus, the trips by Motorised Two-wheeler that will shift to Metro are 22,032, not 320,000 as mentioned.