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At the flower show, one trolley arrives every 4 minutes to take people to the rose pavilion. Another trolley arrives every 10 minutes to take people to the exotic flower greenhouse. Both trollies just arrived at the main building. How many minutes from now will be the next time the trollies arrive at the main building together?

1 answer

To find when the two trolleys will arrive together at the main building, we need to determine the least common multiple (LCM) of their arrival intervals.

The first trolley arrives every 4 minutes, and the second trolley arrives every 10 minutes.

To find the LCM of 4 and 10, we can list the multiples of each:

  • Multiples of 4: 4, 8, 12, 16, 20, 24, ...
  • Multiples of 10: 10, 20, 30, 40, ...

The smallest common multiple in both lists is 20.

Thus, the next time the trolleys will arrive together at the main building is in 20 minutes.