XAT 2012 — Decision Making Question 7
Answer the following questions on the basis of the information given in the following case.
Tina a blast furnace expert, who works as a technology trouble-shooter stays in Jamshedpur. She has got an important assignment in Delhi, which requires six hours to complete. The work is so critical that she has to start working the moment she reaches the client’s premises.
She is considering various options for her onward and return journey between Jamshedpur to Delhi.
A quick search revealed that ticket from Jamshedpur to Delhi is available in two trains. Trains 12801 and 12443 depart from Jamshedpur station at 06:45 hrs and 15.55 hrs and reach Delhi next day at 04:50 hrs and 10:35 hrs respectively. Trains 12444 and 12802 start from Delhi at 17:20 hrs and 22:20 hrs and reach Jamshedpur next day at 10:35 hrs and 20:05 hrs respectively.
Another option is to reach Ranchi by a three hour road trip and take a flight to Delhi from Ranchi. The distance between Ranchi and Delhi is covered in 105 minutes both-ways by any of the scheduled flights. Air India operates two flights, AI 9810 and AI 810, which depart Ranchi at 8:00 hrs and 15:25 hrs respectively. Flight number IT-3348 operated by Kingfisher Airlines departs Ranchi at 19:20 hrs. Return flights operated by Air India, AI 9809 and AI 809, depart Delhi at 5:50 hrs and 11:00 hrs respectively. Flight number IT-3347 operated by Kingfisher Airlines departs Delhi at 17:10 hrs.
From Tina’s home Jamshedpur railway station is five minutes drive, and her destination at Delhi is 90 minutes and 30 minutes drive from airport and railway station respectively. One has to reach the airport at least one hour before the scheduled departure to complete the boarding procedure. At every railway station she loses five minutes in navigating through the crowd.
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
Answer & solution
- A
Train 12443 and return by Train 12444.
- B
Train 12801 and return by Train 12802.
- C
AI 9810 and return by AI 9809.
- D
AI 810 and return by AI 9809.
IT 3348 and return by IT 3347.
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).