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07 Dec 2020, 05:30
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
37% (02:35) correct
63%
(02:59)
wrong
based on 63
sessions
History
Date
Time
Result
Not Attempted Yet
On a certain day, a movie theater is playing all 3 parts of a trilogy. Part 1 plays every hour, beginning at 10am and lasts 2 and 1/4 hours. Part 2 plays every 1 and a half hours, beginning at 10a, and lasts 2 hours. Part 3 plays every 1 and a half hours beginning at 12:15pm. What is the least total amount of time a person planning to watch all 3 parts in order must spend waiting between movies?
A. 15 min
B. 30 min
C. 45 min
D. 60 min
E. 90 min
A. 15 min
B. 30 min
C. 45 min
D. 60 min
E. 90 min
08 Dec 2020, 01:33
Kudos
Bookmarks
Bunuel
Timings for Part 1: Plays every hour and lasts for 2 hours 15 minutes
Starts \(\space\) \(\space\) \(\space\) \(\space\) Ends
10 am \(\space\) \(\space\) \(\space\) 12:15 pm
11 am \(\space\) \(\space\) \(\space\) 1:15 pm
12 pm \(\space\) \(\space\) \(\space\) 2:15 pm
1 pm \(\space\) \(\space\) \(\space\) 3:15 pm
Timings for Part 2: Plays every one and a half hours and lasts for 2 hours
Starts \(\space\) \(\space\) \(\space\) \(\space\) Ends
10:00 am \(\space\) \(\space\) \(\space\) 12:00 pm
11:30 am \(\space\) \(\space\) \(\space\) 1:30 pm
1:00 pm \(\space\) \(\space\) \(\space\) 3:00 pm
2:30 pm \(\space\) \(\space\) \(\space\) 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
Arun Kumar
08 Dec 2020, 02:12
Kudos
Bookmarks
Bunuel
Play 1 Beg: 10:00... 11:00... 12:00... 1:00... 2:00
Play 1 End: 12:15... 1:15.... 2:15... 3:15 ...
Play 2 Beg: 10:00... 11:30... 1:00... 2:30... 4:00
Play 2 End: 12:00... 1:30.... 3:00.... 4:30 ....
Play 3 Beg: 12:15... 1:45... 3:15... 4:45... 6:15
Note that between Play 1 and 2, a 15 min break will certainly happen because Play 1 ends at :15 and play 2 begins at :00 or :30
Also between Play 2 and 3, a 15 min break will certainly happen because Play 2 ends at :00 or :30 and play 3 begins at :15.
If someone starts at 12:00 with play 1, we can get the minimum wait time of 30 mins.
Answer (B)
