Four video shows : GMAT Problem Solving (PS)
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# Four video shows

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Senior Manager
Joined: 10 Nov 2010
Posts: 267
Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
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WE: Information Technology (Computer Software)
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Kudos [?]: 301 [0], given: 22

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19 Mar 2011, 05:08
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9)A museum offers four video programs that run continuously throughout the day, each program starting a new as soon as it is finished. the first program runs every 15 minutes, the second every 30 minutes, the third every 45 minutes and the fourth every 40 minutes. The first show of each program starts at 10.00am and the last showing of each program ends at 4:00pm. if a tour group can watch the program in any order, but needs at least ten minutes between programs to regroup, what is the least amount of time the group can take to watch all four programs?

OA 165 minutes
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19 Mar 2011, 06:37
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19 Mar 2011, 09:33
Consider the different times for the show.
A 15 mins
B 30 mins
C 45 mins
D 40 mins
A B C D
10:00 10:00 10:00 10:00
10:15 10:30 10:45 10:40
10:30 11:00 11:30 11:20
10:45 11:30 12:15 12:00
11:00 12:00 13:00 12:40

Take the shows in the following order - B, D, C, A

10:00 to 10:30 (show B)
10:40 to 11:20 (show D)
11:30 to 12:15 (show C)
12:30 to 12:45 (show A)

Total time = 2 hrs 45 mins = 165 mins
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20 Mar 2011, 21:59
1
KUDOS
Program 1 - 10:00 10:15 10:30 10:45 11:00 11:15 11:30 11:45 12:00 and so on..

Program 2 - 10:00 10:30 11:00 11:30 12:00 12:30 13:00 13:30 14:00 and so on..

Program 3 - 10:00 10:45 11:30 12:15 13:00 13:45 14:30 15:15 16:00 (Last show)

Program 4 - 10:00 10:40 11:20 12:00 12:40 13:20 14:00 14:40 15:20 16:00 (Last show)

Least amount of time = Time for each show + 10*4 min to regroup

Program 2 (10-10:30) + 10 min break = 30 + 10

Program 4 (10:40 - 11:20) + 10 min break = 40 + 10

Program 3 (11:30 - 12:15) + 10 min break = 45 + 10

program 1 (12:30 - 12:45) = 15 + 5 (gap between 12:25 and 12:30)

= 40 + 50 + 55 + 20

= 110+ 55 = 165 min
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Re: Four video shows   [#permalink] 20 Mar 2011, 21:59
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