We appreciate your visit to An electric sign contains three flashing lights red yellow and green The red light flashes every 10 seconds the yellow light flashes every 15 seconds. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The red, yellow, and green lights on an electric sign will flash on together every 90 seconds, as this is the least common multiple of their flashing intervals of 10, 15, and 18 seconds.
To find out when the red, yellow, and green lights on an electric sign will flash on together again, we need to determine the least common multiple (LCM) of their flashing intervals. The red light flashes every 10 seconds, the yellow every 15 seconds, and the green every 18 seconds. The LCM of 10, 15, and 18 will give us the number of seconds after which all three lights will flash together, as this will be the first time all three intervals align.
To calculate the LCM, we can list the multiples of each number until we find the smallest number that appears in all three lists: Multiples of 10 are 10, 20, 30, 40, 50, ..., multiples of 15 are 15, 30, 45, 60, ..., and multiples of 18 are 18, 36, 54, 72, ... The smallest number that appears in all three lists is 90.
Therefore, the red, yellow, and green lights will flash together every 90 seconds. This is the time it will take for all three intervals to align again after being switched on together initially.
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