Read the following passage:
Four colleagues A,B,C and D during lunch time which is from 1:00 - 1:30 pm on a given day go for a walkthrough 2 different routes i.e. they exit from one gate and enter from the other one. A straight path, withinthe office, connects Gates 1 and 2. A and B exit from Gate 1 and enter from Gate 2, and again movetowards Gate 1 using the straight path; while C and D exit from Gate 2 and enter from Gate 1, and againmove towards Gate 2 using the straight path. The routes are in clockwise direction i.e. Gate1 to Gate 2 aperson can only walk in clockwise direction and similarly from Gate 2 to Gate 1. It takes 4 minutes to walkfrom Gate 1 exit to Gate 2 entrance and 6 minutes to walk from Gate 2 exit to Gate 1 entrance. The timetaken to walk from Gate 1 to Gate 2 and vice versa within the office is 1 minute. Initially, the colleaguesleave at a gap of 2 minutes each in the order of B, A, C and D during lunch time. Each person starts thenext round of walk immediately after completing the first round.
If D leaves Gate 2 at 1:15 pm, following the same sequence as stated in the passage, thenwhich of the two colleagues will meet at Gate 2 before 1:30 pm?
It is given that D left at 1:15. Since, B, A, C, D left at a gap of 2 mins. So, the time at which they left the office will be as follows.
The path taken by A,B takes 4 mins to get them to the opposite gate. And that of C, D takes 6 mins. The time when they reached the other gate is as follows.
The time taken to reach the gate where each started is as follow.
So, C and B meet at gate 2 at 1:13. Also, D and A meet at gate 2 at 1:15.
But these two are not in the options. So, let's check the next cycle.
They start the next cycle immediately after this cycle.
The time they again reach the opposite cycle is as follows.
So, A and C meet at gate 2 at 1:20. So, Option B is correct.
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 40+ previous papers with solutions PDF
- Top 500 MBA exam Solved Questions for Free
