Gina will perform all 3 activities again on the same day after 96 days which will be on a Sunday.
- Running days = 4
- Cycling days = 32
- Jogging days = 12
To obtain the number of days after which all three activities will be done on the same day, we obtain the lowest common multiple of 4, 32 and 12 :
Multiples of :
- 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104
- 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108
The lowest mutlple common of 4, 32 and 12 is 96 ;
Therefore, Gina will perform all the three activities together after 96 days, which will be on a Sunday
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