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:
Projecting 3,67,200 daily Metro ridership.
An 18% modal shift to Metro is anticipated.
This shift will replace trips by Motorised Two-wheelers and Motorised Four-wheelers in a 2:1 ratio.

Step 1: Calculate 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: Determine the portion of trips replacing two- and four-wheelers:
\[ \text{Half of the trips shifting} = \frac{66,096}{2} = 33,048 \]

Step 3: Allocate trips based on the 2:1 ratio:
\[ \text{Motorised Two-wheeler trips} = \frac{2}{3} \times 33,048 = 22,032 \]

Consequently, 22,032 Motorised Two-wheeler trips are projected to shift to Metro, not 320,000.