Question: Tina gets a message that her work has to be completed between 9:00 hrs. and 17:00 hrs. If she wants minimize the total time out of Jamshedpur, the best option, from the options given below, for her among the following is to go by
Explanation:
Note that in this question, the work needs to be completed any time between 9:00 hours and 17:00 hours. It DOES NOT mean that the work has to be started and completed between the9:00 hours and 17:00 hours.
Consider each option.
Option 1:
Since there are 2 train journeys,
Travel time = (2 × 10) + (2 × 35) + Actual travel in 12443 + Actual travel in 12444 = 20 + 70 + 1120 + 1035 = 2245 minutes
Work time = 360 minutes.
If she goes by train 12443, she will reach the work site at 11:10 hours and finish the work at 17:10 hours which violates the condition of the question.
So, she will have to wait till 03:00 hours on the next day to start the work so that she can complete the work at 09:00 hours. This is a wait of 950 minutes.
Once she finishes the work at 09:00 hours, she will have to wait till 16:45 hours on that day to catch train 12444. This is a waiting time of 465 minutes.
Total waiting time = 950 + 465 = 1415 minutes.
So, total time = 2245 + 360 + 1415 = 4020 minutes.
Option 2:
Since there are 2 train journeys,
Travel time = (2 × 10) + (2 × 35) + Actual travel in 12801 + Actual travel in 12802 = 20 + 70 + 1325 + 1305 = 2720 minutes
Work time = 360 minutes.
If she goes by train 12801, she will reach the work site at 05:25 hours, start immediately and finish the work at 11:25 hours which satisfies the condition of the question.
Once she finishes the work at 11:15 hours, she will have to wait till 21:45 hours on that day to catch train 12802. This is a waiting time of 630 minutes.
So, total time = 2720 + 360 + 630 = 3710 minutes.
Hence, option (a) can be eliminated.
Option 3:
Since there are 2 flight journeys,
Travel time = 435 × 2 = 870 minutes
Work Time = 360 minutes
If she goes by AI 9810, she will reach the work site at 11:15 hours and finish the work at 17:15 hours which violates the condition of the question.
So, she will have to wait till 03:00 hours on the next day to start the work so that she can complete the work at 09:00 hours. This is a wait of 945 minutes.
Once she finishes the work at 09:00 hours, she will have to wait till 03:20 hours on the next day to catch AI 9809. This is a waiting time of 1100 minutes.
Total waiting time = 945 + 1100 = 2045 minutes.
So, total time = 870 + 360 + 2045 = 3275 minutes.
Hence, option (b) can be eliminated.
Option 4:
Since there are 2 flight journeys,
Travel time = 435 × 2 = 870 minutes
Work Time = 360 minutes
If she goes by AI 810, she will reach the work site at 18:40 hours and finish the work at 00:40 hours which violates the condition of the question.
So, she will have to wait till 03:00 hours on the next day to start the work so that she can complete the work at 09:00 hours. This is a wait of 500 minutes.
Once she finishes the work at 09:00 hours, she will have to wait till 03:20 hours on the next day to catch AI 9809. This is a waiting time of 1100 minutes.
Total waiting time = 500 + 1100 = 1600 minutes.
So, total time = 870 + 360 + 1600 = 2830 minutes.
Hence, option (c) can be eliminated.
Option 5:
Since there are 2 flight journeys,
Travel time = 435 × 2 = 870 minutes
Work Time = 360 minutes
If she goes by IT 3348, she will reach the work site at 22:35 hours and finish the work at 04:35 hours which violates the condition of the question.
So, she will have to wait till 03:00 hours on the next day to start the work so that she can complete the work at 09:00 hours. This is a wait of 265 minutes.
Once she finishes the work at 09:00 hours, she will have to wait till 14:40 hours on the same day to catch IT 3347. This is a waiting time of 340 minutes.
Total waiting time = 265 + 340 = 605 minutes.
So, total time = 870 + 360 + 605 = 1835 minutes.
Hence, option (d) can be eliminated.
Hence, option (e).