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MathematicsMathematics
5 November, 21:22

There is a string of red and blue lights strung around a window. The red lights blink every 3 seconds, and the blue lights blink every 5 seconds. How many times will they blink at the same time in one minute?

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Answers (2)
  1. 5 November, 22:23
    0
    To answer this question, we need to determine how many common multiples there are between 3 and 5, that are lower than 60.

    It turns out that every common multiples of 3 and 5 is also a multiple of 15. So, there are (60/15) = 4 such common multiples.

    So the answer is 4.

    Here is a more detailed description:

    After 1 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 2 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 3 seconds:

    The red lights blink

    The blue lights don't blink

    After 4 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 5 seconds:

    The red lights don't blink

    The blue lights blink

    After 6 seconds:

    The red lights blink

    The blue lights don't blink

    After 7 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 8 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 9 seconds:

    The red lights blink

    The blue lights don't blink

    After 10 seconds:

    The red lights don't blink

    The blue lights blink

    After 11 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 12 seconds:

    The red lights blink

    The blue lights don't blink

    After 13 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 14 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 15 seconds:

    The red lights blink

    The blue lights blink

    They have blinked at the same time 1 times

    After 16 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 17 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 18 seconds:

    The red lights blink

    The blue lights don't blink

    After 19 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 20 seconds:

    The red lights don't blink

    The blue lights blink

    After 21 seconds:

    The red lights blink

    The blue lights don't blink

    After 22 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 23 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 24 seconds:

    The red lights blink

    The blue lights don't blink

    After 25 seconds:

    The red lights don't blink

    The blue lights blink

    After 26 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 27 seconds:

    The red lights blink

    The blue lights don't blink

    After 28 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 29 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 30 seconds:

    The red lights blink

    The blue lights blink

    They have blinked at the same time 2 times

    After 31 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 32 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 33 seconds:

    The red lights blink

    The blue lights don't blink

    After 34 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 35 seconds:

    The red lights don't blink

    The blue lights blink

    After 36 seconds:

    The red lights blink

    The blue lights don't blink

    After 37 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 38 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 39 seconds:

    The red lights blink

    The blue lights don't blink

    After 40 seconds:

    The red lights don't blink

    The blue lights blink

    After 41 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 42 seconds:

    The red lights blink

    The blue lights don't blink

    After 43 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 44 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 45 seconds:

    The red lights blink

    The blue lights blink

    They have blinked at the same time 3 times

    After 46 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 47 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 48 seconds:

    The red lights blink

    The blue lights don't blink

    After 49 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 50 seconds:

    The red lights don't blink

    The blue lights blink

    After 51 seconds:

    The red lights blink

    The blue lights don't blink

    After 52 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 53 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 54 seconds:

    The red lights blink

    The blue lights don't blink

    After 55 seconds:

    The red lights don't blink

    The blue lights blink

    After 56 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 57 seconds:

    The red lights blink

    The blue lights don't blink

    After 58 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 59 seconds:

    The red lights don't blink

    The blue lights don't blink

    After 60 seconds:

    The red lights blink

    The blue lights blink

    They have blinked at the same time 4 times
  2. 5 November, 22:41
    0
    they will blink 4 times at the same time in one minute

    Step-by-step explanation:

    you have to find the least common multiple of 5 and 3

    LCM of 5,3 = 15

    So, the two lights will blink together every 15 seconds.

    No. of times blinking together in one minute = 60/15 = 4
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Home » Mathematics » There is a string of red and blue lights strung around a window. The red lights blink every 3 seconds, and the blue lights blink every 5 seconds. How many times will they blink at the same time in one minute?
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