Using the least common factor, they will meet each other at the starting point again in 150 minutes.
How to find the time it takes for periodic events to repeat at the same time?
To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.
In this problem, the periods are of 25 minutes and 30 minutes, hence the lcm is found as follows:
25 - 30|2
25 - 15|3
25 - 5|5
5 - 1|5
1 - 1
Hence:
lcm(25,30) = 2 x 3 x 5² = 150 minutes.
They will meet each other at the starting point again in 150 minutes.
More can be learned about the least common factor at brainly.com/question/16314496
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