Question:

Impossible Riddle?????

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What's the answer to the riddle on

http://www.mathparadise.com/?p=41

Please tell me, thanks!

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  1. Start both hourglasses together. When the 4-minute glass runs out, turn it over (4 minutes have elapsed). Then the 7-minute glass runs out, turn it over (7 minutes have elapsed). When the 4-minute glass runs out this time (8 minutes have elapsed), the 7-minute glass has been running for 1 minute. Turn it over, when it stops, 9 minutes have elapsed.


  2. 1. (time elapsed: 0 min) Start both hourglasses at the same time

    2. (time elapsed: 4 min) 4 min hourglass runs out

        Restart 4 min hourglass

    3. (time elapsed: 7 min) 7 min hourglass runs out

        Restart 7 min hourglass

    4. (time elapsed: 8 min) 4 min hourglass runs out

        RESTART 7 MIN HOURGLASS

    5. (time elapsed: 9 min) 7 min hourglass runs out

    Explaination:

    When the 4 min hourglass runs out the first time, the 7 min hourglass still has 3 minutes to go.

    Therefore, when the 7 min hourglass runs out for the first time, the 4 min hourglass has 1 min to go.

    TIME NOW: 7 MIN

    When the 4 min hourglass runs out, the 7 min hourglass has only completed 1 min of timing.  It is restarted at that time

    TIME NOW: 8 MIN

    With 1 min of sand left on the top, the 7 min hourglass would run out after one min

    TIME NOW: 9 MIN

  3. use the 7 minute hourglass first, then use half of the four minute hourglass 7 + 2 = 9 minutes.

  4. Start both hourglasses. When the 4-minute glass runs out, turn it over (4 minutes elapsed). When the 7-minute glass runs out, turn it over (7 minutes elapsed). When the 4-minute glass runs out this time (8 minuts elapsed), the 7-minute glass has been running for 1 minute. Turn it over once again. When it stops, 9 minutes have elapsed.  

  5. okay, here we go...

    Firstly you have to start both hourglasses at the same time

    When 4 minutes is up, turn over the 4 minute one again.

    When the 7 minute hourglass runs out turn it over again.

    Now, when the other hourglass (4minute) has run out, you have 8 minutes from the 4 minute one twice.  

    At this time the 7 minute one has been running for 1 minute.

    8 minutes and 1 minute = 9 minutes!

    hope this has helps

    x*x
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