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Kim swims every 6 days and jogs every 10 days. She did both today. In how many days will she complete both activities again?

User MooCow
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1 Answer

6 votes

Final answer:

Kim will complete both swimming and jogging on the same day again in 30 days, as 30 is the least common multiple of the intervals of 6 and 10 days for each activity respectively.

Step-by-step explanation:

To find out when Kim will swim and jog on the same day again, we need to calculate the least common multiple (LCM) of the two intervals: 6 days for swimming and 10 days for jogging. The LCM of 6 and 10 is the smallest number that both 6 and 10 can divide into without leaving a remainder.

  • Multiple of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
  • Multiple of 10: 10, 20, 30, 40, 50, 60, ...

As we can see from the lists of multiples, the smallest common multiple of 6 and 10 is 30. Therefore, Kim will complete both activities again in 30 days.

User Senol
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