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Math Help - Find Time Question(?)

  1. #1
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    Find Time Question(?)

    Three bus services operate from the same depot.
    The first service leaves at 10 minute intervals, the second at 15 minute
    intervals and the third at 25 minute intervals.
    All three services leave the depot together at 0800.
    Find the time when the three services next leave the depot together.

    How to solve such question?
    I'm so weak in counting time.
    Please help. ><
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  2. #2
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    Quote Originally Posted by kismyjacq View Post
    Three bus services operate from the same depot.
    The first service leaves at 10 minute intervals, the second at 15 minute
    intervals and the third at 25 minute intervals.
    All three services leave the depot together at 0800.
    Find the time when the three services next leave the depot together.

    How to solve such question?
    I'm so weak in counting time.
    Please help. ><
    You have to calculate the least common multiple of 10, 15 and 25:

    lcm(10, 15, 25) = 150

    Use prime number factorisation:

    10 = 2 \cdot 5
    15 = 3 \cdot 5
    25 = 5\cdot 5

    Therefore lcm(10, 15, 25) = 2\cdot 3 \cdot 5 \cdot 5 = 150
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