Respuesta :
Answer:
2 Times
Step-by-step explanation:
Light A flashes every 15 seconds.
Light B flashes every 18 seconds.
First, we determine the next time both lights will flash together.
This is done by finding the Least Common Multiple of the two numbers.
15=3X5
18=[tex]2X3^2[/tex]
LCM of 15 and 18=[tex]2X3^2X5=90[/tex]
This means that both lights will flash together after 90 seconds.
Now, 4 Minutes =4 X 60 =240
240=90+90+60
Therefore, the number of times more both light will flash together in the next 4 Minutes
= 2 Times
Using the least common multiple, it is found that in the next 4 minutes, they will flash together 2 more times.
To find the time that passes between them flashing at the same time, we need to find the least common multiple of 15 and 18, hence:
15 - 18|2
15 - 9|3
5 - 3|3
5 - 1|5
1
Hence, lcm(15, 18) = 2 x 3 x 3 x 5 = 90 seconds.
In 4 minutes, there are 240 seconds.
240/90 = 2.67
In the next 4 minutes, they will flash together 2 more times.
A similar problem is given at https://brainly.com/question/20726647
