Stoplight a changes color every 30 seconds and stoplight b changes every 40 seconds. after how many seconds will the stoplights change color

Question

Stoplight a changes color every 30 seconds and stoplight b changes every 40 seconds. after how many seconds will the stoplights change colors at the same time again?

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Lệ Thu 4 years 2021-08-14T20:29:09+00:00 1 Answers 15 views 0

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  1. Sigrid
    0
    2021-08-14T20:30:20+00:00
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    Answer:

    After 120 seconds

    Step-by-step explanation:

    Here, we want to know the number of seconds after which both spotlights will change colors at the same time again.

    Basically, what we want to do here is to

    calculate the value with which 30 and 40 have the same multiples or we want to

    calculate the lowest common multiple of 30 and 40

    The multiples of 30 are 30,60,90,120 etc

    The multiples of 40 are 40,80,120 etc

    We can see that the lowest common multiple of both is 120

    So therefore the spotlights will change colors at the same time after 120 seconds

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