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A movie theater runs two films continuously. One film runs for 85 minutes and a second film runs for 100 minutes. Both movies begin at noon. When will the two films start again at the same time?

  • math -

    This is just like finding the LCM of 85 and 100
    85 = 5x17
    100 = 5x20
    LCM = 5x17x20 = 1700

    e.g.
    85 170 255 ... 1615 1700 ...
    100 200 300 .. 1600 1700 ..

    It will take 1700 minutes = 28 hrs. 20 minutes.

    Add that time to your noon.

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