### IIFT 2014 Question Paper Question 85

Instructions

BHUBANESWAR, CHENNAI, KANYAKUMARI, KOCHI, MUMBAI and VIZAG are 6 major Indian cities. For some reason people use only a certain mode of transport between a pair of cities. The modes of transport are provided in Table 1, while in Table 2 the distances between different pairs of cities are given. Table 3 provides the speed of the mode of transport and the cost associated with each of them.

Table 1: Mode of Transport between Cities

Table 2: Distance between Cities (KM)

Table 3: Mode of Transport and Cost

Question 85

# Mr. Ranjith lives in MUMBAI and wants to travel to KOCHI. However, the train services are on halt due to laying of track for bullet trains across the country. In this scenario, which of the following is the least cost route to reach KOCHI?

Solution

Cost incurred in route MUMBAI - BHUBANESWAR - KOCHI : 701*(2) + 798*5 = Rs. 5392.

Cost incurred in route MUMBAI - CHENNAI - KOCHI : 1000*(1.5) + 901*(1.5) = Rs. 2851.50.

Cost incurred in route MUMBAI - KANYAKUMARI - KOCHI : 950*(2) + 1100*(2.5) = Rs. 4650.

Cost incurred in route MUMBAI - VIZAG - KOCHI : 500*(5) + 600*5 = Rs. 5500.

Hence, we can see that cost incurred in route mentioned option B is the least.