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25 November, 18:36

Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simultaneously at 12 noon? Hint: 60 minutes = 1 hour

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  1. 25 November, 20:16
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    They will sound together at 2pm

    Step-by-step explanation:

    Now, the first thing we need to calculate is, in how many minutes will the two gongs strike together.

    To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40

    The lowest common multiple between both is 120

    This means that the two gongs will sound together at exactly 120 minutes

    Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours

    Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
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