Concept: The question tests on Word problem solving skill
Solution:
Timings for Part 1: Plays every hour and lasts for 2 hours 15 minutes
Starts Ends
10 am 12:15 pm
11 am 1:15 pm
12 pm 2:15 pm
1 pm 3:15 pm
Timings for Part 2: Plays every one and a half hours and lasts for 2 hours
Starts Ends
10:00 am 12:00 pm
11:30 am 1:30 pm
1:00 pm 3:00 pm
2:30 pm 4:30 pm
Timings for Part 3: Plays every one and a half hour
Starts
12:15 pm
1:45 pm
3:15 pm
4:45 pm
So, he should go for part 1 at 12pm, come out at 12:15. Then go to the part 2 show at 2:30 and come out at 4:30. Then go for part 3 at 4:45.
The minimum waiting time = 15 minutes (2:15 to 2:30) between 1 and 2 and 15 minutes (4:30 to 4:45) between 2 and 3.
Total = 30 minutes
Option B