Instructions

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.

Question 1

If Tina wants to minimize the total time out of Jamshedpur, the best option for her, from the options given below, is:

Solution

Tabulated form of the data:

S - Source station D - Destination Station

Extra time taken if flight is the mode of travel = 3 hours(Road trip) + 1 hour(early arrival)

Option (A):

Source is Jamshedpur(AI9810)

Time of departure from home = 8:00 - 4 hour = 4:00

Arrival time at Delhi = 9:45

She can depart by flight earliest by 9:45 +1:30(Airport to work) + 6:00(Work time) + 1:30(Work to Airport) + 1:00(Early Arrival) = 19:45

IT3347 departs from Delhi at 17:10. So, she reaches Jamshedpur by 18:55(2^nd day) + 3:00(Road Trip) = 21-55(2^nd day)

Total Time = 41 hours 55 mins.

Option (B):

Starting from Jamshedpur (AI9810) = 4:00

Arrival time at Delhi = 9:45

She can depart by train earliest by 9:45 +1:30(Airport to work) + 6:00(Work time) + 00:30(Work to station) + 0:05(Wait time) = 17:50

Train 12802 departs from Delhi(RS) at 22:10 and reaches Jamshedpur by 20:05(2^nd day).

Total time = 40 hours 5mins.

Option (C):

Starting from Jamshedpur = 19:20 - 4 hour = 15:20

Arrival time at Delhi = 21:05

She can depart by flight earliest by 21:05 +1:30(Airport to work) + 6:00(Work time) + 1:30(Work to Airport) + 1:00(Early Arrival) = 7:05(2^nd day)

AI9809 departs from Delhi at 5:50. So, she can reach Jamshedpur by 7-35(3^rd Day) + 3:00(Road Trip)=10:35(3^rd Day)

Total Time = 43 hours 15mins.

Option (D):

Starting from Jamshedpur = 15:55

Arrival time at Delhi (RS) = 10:35(2^nd day)

She can depart from Delhi (RS) earliest by 10:35(2^nd day) + 00:30(Station to Work) + 0:05(Wait time) + 6:00(Work time) + 00:30(Work to station) + 0:05(Wait time) = 17:45(2^nd day)

Train 12444 departs from Delhi (RS) at 17:20. So she will catch the train the next day.

Since the total hours is more than 48, this is not the answer,

Option (E):

Starting from Jamshedpur = 4:00

Arrival at Delhi airport = 9:45

She can depart from Delhi (RS) earliest by 9:45 + 1:30(Airport to work) + 6:00(Work time) + 00:30(Work to station) + 0:05(Wait time)= 17:50

So, she can start only on day 2 at 17:20.

Thus, since she will be out for more than 48 hours, this is not the correct answer.

Thus, the correct answer is B.

Question 2

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

Solution

S - Source station D - Destination Station

Option (A):

The start of TIna will be at 15:55.

She will reach Delhi at 10:35

She can depart from Delhi (RS) earliest by = 10:35 + 00:30(Station to Work) + 0:05(Wait time) + 6:00(Work time) + 00:30(Work to station) = 17:40

The next train will get her to Jamshedpur on the 12^th at 10:35

Tina will be out of Jamshedpur from 15:55 to 10-35(3^rd Day), i.e. 66 hrs. 40 min.

Option (B):

The start of TIna will be at 06:45.

She will reach Delhi at 04:50

She can depart from Delhi (RS) earliest by = 04:50 + 00:30(Station to Work) + 0:05(Wait time) + = 5:25

The work will start at 9:00 hrs, and she will finish by 15:00 hrs. By train 12802, she would reach Jamshedpur on 20:05 hrs (3^rd Day).

She is out of Jamshedpur for 61 hrs., 20 min.

Option (C):

As train AI9810 departs from Ranchi at 8:00 hrs. She has to reach the airport at 7:00 hrs, and so she has to start from Jamshedpur at 4:00 hrs. The Flight reached Delhi at 9:45 am, and she would reach the client's place at 11:45 am. As she has to finish the work by 17:00 hrs., she would have to wait till the next day and finish it by 15:00 hrs. She could catch the Flight only on day 3, and she would reach Ranchi at 7:35 hrs and reach Jamshedpur at 10:35 hrs.

She is out of Jamshedpur for 54 hrs 35 min.

Option (D):

As AI810 departs from Ranchi at 15:25 hrs, she has to be at the airport at 14:25 hrs and leave Jamshedpur at 11:25 hrs. She reaches Delhi and would be able to work on the project from 9:00 hrs to 15:00 hrs on day 2. She can catch the Flight only on day 3 and would reach Ranchi at 7:35 hrs and can reach Jamshedpur at 10:35 hrs on Jan 11^th.

She was out of Jamshedpur for 47 hrs 10 minutes.

Option (E):

Similar to option C, this approach will also take 54 hrs 35 min.

SInce option D approach takes the least time; the correct option is D.

Question 3

Tina has to appear for an exam on 8 th of January in Jamshedpur and she can start from her
residence in Jamshedpur only after 16:00 hrs of the same day. Choose the option, from the options given below, that will help her to minimize the total time out of Jamshedpur.

Solution

S- Source station

D- Destination Station.

Option (A):

Starting from Jamshedpur = 15:55

Arrival time at Delhi (RS) = 10:35(2^nd day)

She can depart from Delhi (RS) earliest by 10:35(2^nd day) + 00:30(Station to Work) + 0:05(Wait time) + 6:00(Work time) + 00:30(Work to station) + 0:05(Wait time) = 17:45(2^nd day)

Train 12444 departs from Delhi (RS) at 17:20. So she will catch the train the next day.

The train reaches Jamshedpur on 12^th Jan at 10:35.

Tina will be out of Jamshedpur from 9^th (15:55) to 12^th (10:35), i.e. for 66 hrs. 40 mins.

Option (B):

tarting from Jamshedpur = 15:55

Arrival time at Delhi (RS) = 10:35(2^nd day)

She can depart from Delhi (RS) earliest by 10:35(2^nd day) + 00:30(Station to Work) + 0:05(Wait time) + 6:00(Work time) + 01:30(Work to airport) + 01:00(early arrival time) = 19:40(10^th)

So, she can take AI9809 on the 11^th at 5:50.

She can reach Jamshedpur on 11^th at 5:50 + 1:45 + 3:00 (for flying time + Road travel to Jamshedpur) = 10-35 (11^th)

She was out of Jamshedpur for 11^th (10-35) - 9^th(15-55) = 42 hrs. 40 mins.

Option (C) and (D) are inconsistent with the conditions as train 12801 doesn’t depart from Delhi.

Option (E):

Source is Jamshedpur(AI9810)

Time of departure from home = 8:00 - 4 hour = 4:00

Arrival time at Delhi = 9:45

She can depart by flight earliest by 9:45 +1:30(Airport to work) + 6:00(Work time) + 1:30(Work to Airport) + 1:00(Early Arrival) = 19:45

So, she can board AI9809 on 10^th Jan at 5:50

So, she will reach Jamshedpur at 5:50 + 1:45(flying time) + 3:00(travel to Jamshedpur to Ranchi) = 10:35(10^th)

She is out of Jamshedpur from 4:00 (9^th) to 10:35(10^th), i.e. 30 hrs. 35 mins.

Thus, the correct option is E.

Question 4

If Tina decides to minimize the in-between waiting period, the option that she should choose from the options given below, will be:

Solution

S- Source, D- Destination

Option (A):

Tina will reach Delhi by Train 12801 at 4:50.

She will finish her work and then will go to Delhi airport and check in by 4:50 + 9:05, i.e. 13:55.

Since the flight departs at 17:10, the waiting period is 3 hrs. 15 mins.

Option (B):

Tina will reach Delhi by Train 12801 at 10:35.

She will finish her work and then will go to Delhi and navigate through the crowd and will reach by 10:35 + 7:10, i.e. 17:45.

Since the train deports by 22-20, the waiting period is 4 hrs. 35 mins.

Option (C):

Starting from Jamshedpur = 4:00

Arrival at Delhi airport = 9:45

She can depart from Delhi (RS) earliest by 9:45 + 1:30(Airport to work) + 6:00(Work time) + 00:30(Work to station) + 0:05(Wait time)= 17:50

Since the train departs at 22-20, the waiting period is 4 hrs. 30 mins.

Option (D):

Arrival at Delhi airport by AI810= 9:45

Tina finishes her work and reaches the airport, and can check-in in 10 hours, i.e. she can check in by 3-10. But the flight AI9809 departs at 5-50.

Hence, the waiting period is 2 hrs. 40 mins.

Option (E):

Starting from Jamshedpur = 19:20 - 4 hour = 15:20

Arrival time at Delhi = 21:05

She can depart by flight earliest by 21:05 +1:30(Airport to work) + 6:00(Work time) + 1:30(Work to Airport) + 1:00(Early Arrival) = 7:05(2^nd day)

. Since the flight AI809 departs at 11-00. The waiting period is 3 hrs. 55 mins.

Thus, the correct option is E.

If Tina wants to minimize the total time out of Jamshedpur, the best option for her, from the options given below, is:

Tina gets a message that her work has to be completed between 9:00 hrs. and 17:00 hrs. Ifshe 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

Tina has to appear for an exam on 8 th of January in Jamshedpur and she can start from herresidence in Jamshedpur only after 16:00 hrs of the same day. Choose the option, from the options given below, that will help her to minimize the total time out of Jamshedpur.

If Tina decides to minimize the in-between waiting period, the option that she should choose from the options given below, will be:

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

Tina has to appear for an exam on 8 th of January in Jamshedpur and she can start from her
residence in Jamshedpur only after 16:00 hrs of the same day. Choose the option, from the options given below, that will help her to minimize the total time out of Jamshedpur.