Section: Math 0 Likes
One neon sign flashes every 6 seconds. Another neon sign flashes every (September 2023 - G01)
One neon sign flashes every 6 seconds. Another neon sign flashes every 8 seconds.
Given that the signs sometimes flash simultaneously, how many seconds are there between consecutive simultaneous flashings?
F. 2
G. 7
H. 14
J. 24
K. 48
Solution
Correct answer: J. 24.
To find the time between consecutive simultaneous flashings of the two neon signs, we need to find the least common multiple (LCM) of their flashing intervals.
The first neon sign flashes every 6 seconds.
The second neon sign flashes every 8 seconds.
To find the LCM of 6 and 8, we can list the multiples of each number until we find a common multiple:
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
Multiples of 8: 8, 16, 24, 32, 40, ...
The first common multiple of 6 and 8 is 24. Therefore, the consecutive simultaneous flashings will occur every 24 seconds.
Exam Edition: September 2023 - G01
Exam Year: 2023
Related topics: LCM, Arithmetic