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Source: Manhattan Prep
A museum offers four video programs that run continuously throughout the day, each program starting anew 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 am and the last showing of each program ends at 4 pm. If a tour group can watch the programs 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?
A. 165 mins
B. 164 mins
C. 160 mins
D. 158 mins
E. 157 mins
The OA is A
A museum offers four video programs that run continuously throughout the day, each program starting anew 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 am and the last showing of each program ends at 4 pm. If a tour group can watch the programs 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?
A. 165 mins
B. 164 mins
C. 160 mins
D. 158 mins
E. 157 mins
The OA is A

















