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23 May, 00:34

You need to make 5 grilled cheese sandwiches. You have a grill that is large enough to toast 2 sandwiches at a time. The sandwiches must be toasted one minute on each side. It takes 3 seconds to flip a sandwich and 5 seconds to take one off or put one on the grill. What is the shortest amount of time needed to toast all five sandwiches?

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  1. 23 May, 00:47
    0
    2 sandwiches -

    4 minutes to toast

    6 seconds to flip

    20 seconds to take off or put on

    4 minutes and 26 seconds

    4 sandwiches

    8 minutes and 52 seconds

    last sandwich

    2 minutes to toast

    3 seconds to flip

    10 seconds to take off or put on

    2 minutes and 13 seconds

    total: 10 minutes 65

    11 minutes and 5 seconds
  2. 23 May, 00:52
    0
    Each sandwich is toasted for 2 minutes and it takes 3 seconds to flip it.

    The first two sandwiches will be toasted in 2 minutes (toasting) and 6 seconds (flipping).

    The two will then be switched which will take 10 seconds.

    The next two will again take 2 minutes and 6 seconds.

    The final sandwich will take 5 seconds to be placed.

    The final sandwich will also take 2 minutes to toast and 3 seconds to flip.

    Total time:

    2 + 2 + 2 = 6 minutes

    6 + 10 + 6 + 3 = 25 seconds

    Total time is 6 minutes and 25 seconds.
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