Question: If Tina decides to minimize the in-between waiting period, the option that she should choose from the options given below, will be:
Explanation:
Note that in this case, we are not interested in the travel time and work time at all, as the objective is to minimize the waiting time. The waiting time of one hour at the airport is to be considered but the navigation time of 5 minutes at the railway station is not to be considered.
Also, the waiting time will be nothing but the difference between completion of work and time at which she needs to leave from the work site. We need to add 0, 60 or 120 minutes to this (depending on how many times she travels by flight).
Consider each option.
Option 1:
Since she travels by flight once, 60 minutes will be added to the waiting time.
If she goes by train 12801, she will complete the work by 11:25 hours. To catch flight IT 3347 which departs at 17:10 hours, she needs to leave at 14:40 hours i.e a wait time of 195 minutes.
So, total wait time = 195 + 60 = 255 minutes
Option 2:
Since she travels by train twice, 0 minutes will be added to the waiting time.
If she goes by train 12443, she will complete the work by 17:10 hours. To catch train 12802 which departs at 22:20 hours, she needs to leave at 21:45 hours i.e a wait time of 275 minutes.
So, total wait time = 275 minutes
Hence, option (b) can be eliminated.
Option 3:
Since she travels by flight once, 60 minutes will be added to the waiting time.
If she goes by flight AI 9810, she will complete the work by 17:15 hours. To catch train 12802 which departs at 22:20 hours, she needs to leave at 21:45 hours i.e a wait time of 270 minutes.
So, total wait time = 270 + 60 = 330 minutes
Hence, option (c) can be eliminated.
Option 4:
Since she travels by flight twice, 120 minutes will be added to the waiting time.
If she goes by flight AI 810, she will complete the work by 00:40 hours. To catch flight AI 9809 which departs at 05:50 hours, she needs to leave at 03:20 hours i.e a wait time of 160 minutes.
So, total wait time = 160 + 120 = 280 minutes
Hence, option (d) can be eliminated.
Option 5:
Since she travels by flight twice, 120 minutes will be added to the waiting time.
If she goes by flight IT 3348, she will complete the work by 04:35 hours. To catch flight AI 809 which departs at 11:00 hours, she needs to leave at 08:30 hours i.e a wait time of 235 minutes.
So, total wait time = 235 + 120 = 355 minutes
Hence, option (e) can be eliminated.
Hence, option (a).