Posers and Puzzles

Posers and Puzzles

  1. Palmerston North
    Joined
    02 Jun '06
    Moves
    2420
    29 Jul '06 00:35
    Two hoses have a rate of 12s per 5L and 25s per 5L how long will it take to fill up a 150m^3 pool?
  2. Joined
    20 Feb '06
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    8407
    29 Jul '06 08:59
    Originally posted by Knight Square
    Two hoses have a rate of 12s per 5L and 25s per 5L how long will it take to fill up a 150m^3 pool?
    First hose has a rate of 5/12 litres per second and the other hose has a rate of 5/25 litres per second.

    So the combined rate is 5/12+5/25 litres per second.

    There 150*1000 litres to fill, so the total time needed is

    150*1000/(5/12+5/25) = 9000000/37 seconds.
  3. Shanghai
    Joined
    16 Feb '06
    Moves
    115340
    29 Jul '06 12:07
    Originally posted by Knight Square
    Two hoses have a rate of 12s per 5L and 25s per 5L how long will it take to fill up a 150m^3 pool?
    If like me you read horses instead of hoses it makes the idea of them filling a pool far more entertaining.
  4. Standard membersonhouse
    Fast and Curious
    slatington, pa, usa
    Joined
    28 Dec '04
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    52874
    29 Jul '06 15:04
    Originally posted by deriver69
    If like me you read horses instead of hoses it makes the idea of them filling a pool far more entertaining.
    You have to keep them still so they keep Peeing in the pool. Also you have to keep them from pooping in the pool which would throw off the liquid calculation🙂
  5. Standard membersonhouse
    Fast and Curious
    slatington, pa, usa
    Joined
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    52874
    29 Jul '06 15:351 edit
    Originally posted by SPMars
    First hose has a rate of 5/12 litres per second and the other hose has a rate of 5/25 litres per second.

    So the combined rate is 5/12+5/25 litres per second.

    There 150*1000 litres to fill, so the total time needed is

    150*1000/(5/12+5/25) = 9000000/37 seconds.
    If you divide out each contibutor, you get 5/12 of a liter per second or 0.41666 L/sec. The other one comes out at 5/25 or 0.2 L/sec. That makes 0.61666 L/sec filling the pool. Inverting that gives 1.6216 seconds per liter, times 1000 gives 1621.6 seconds to fill one cubic meter. Times 150 gives 243,245 seconds to fill the 150 M^3 pool.
    The same as SP, but made the final division.
    That problem can be restated as the current flowing in parallel in two resistors where they are charging a battery to X amount of joules of energy. It could be stated as 5/12 amp in one and 5/25 amp in the other. Same kind of problem.
  6. Palmerston North
    Joined
    02 Jun '06
    Moves
    2420
    29 Jul '06 23:581 edit
    I need it in Days ,Hours and Minutes. I got less than 3 days or something.
  7. Joined
    21 Jul '06
    Moves
    0
    30 Jul '06 02:07
    If
    tap A fills a pool in a minutes
    tap B fills a pool in b minutes
    tap C fills a pool in c minutes
    how long will they need to fill the pool when used together?
  8. Shanghai
    Joined
    16 Feb '06
    Moves
    115340
    30 Jul '06 12:47
    Originally posted by ThudanBlunder
    If
    tap A fills a pool in a minutes
    tap B fills a pool in b minutes
    tap C fills a pool in c minutes
    how long will they need to fill the pool when used together?
    in abc minutes tap A fills bc baths, B ac baths and C ab baths.

    so a total of ab + bc + ac baths are filled in abc minutes.

    so one bath is filled in abc/(ab + bc + ac)
  9. Standard memberXanthosNZ
    Cancerous Bus Crash
    p^2.sin(phi)
    Joined
    06 Sep '04
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    25076
    30 Jul '06 13:17
    Originally posted by sonhouse

    That problem can be restated as the current flowing in parallel in two resistors where they are charging a battery to X amount of joules of energy. It could be stated as 5/12 amp in one and 5/25 amp in the other. Same kind of problem.
    Why would you do that? The words surrounding the numbers in these types of problems don't make a lick of difference.
  10. Standard membersonhouse
    Fast and Curious
    slatington, pa, usa
    Joined
    28 Dec '04
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    52874
    30 Jul '06 17:53
    Originally posted by XanthosNZ
    Why would you do that? The words surrounding the numbers in these types of problems don't make a lick of difference.
    Why? Because I CAN🙂
  11. Joined
    20 Feb '06
    Moves
    8407
    30 Jul '06 22:34
    Originally posted by Knight Square
    I need it in Days ,Hours and Minutes. I got less than 3 days or something.
    Well, I'm sure you can manage that bit by yourself!
  12. SubscriberAThousandYoung
    iViva la Hispanidad!
    tinyurl.com/y2c6j2t3
    Joined
    23 Aug '04
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    24791
    30 Jul '06 22:52
    Originally posted by deriver69
    If like me you read horses instead of hoses it makes the idea of them filling a pool far more entertaining.
    I thought it said the same thing!
  13. Joined
    28 Jan '06
    Moves
    23359
    01 Aug '06 04:45
    Originally posted by deriver69
    If like me you read horses instead of hoses it makes the idea of them filling a pool far more entertaining.
    Definitely. I did the same.
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