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?

minutes

Respuesta :

The next time the trollies will arrive at the main building together is in 20 minutes

Since at the flower show, one trolley arrives every 4 minutes to take people to the rose pavilion, and another trolley arrives every 10 minutes to take people to the exotic flower greenhouse, and both trollies just arrived at the main building, to determine how many minutes from now will be the next time the trollies arrive at the main building together the following calculation must be performed, looking for the least common multiple between both numbers (4 and 10):

  • Trolley 1 = 0 - 4 - 8 - 12 - 16 - 20
  • Trolley 2 = 0 - 10 - 20

Thus, as long as the least common multiple of 4 and 10 is 20, the next time the trollies will arrive at the main building together is in 20 minutes.

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