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19 April, 01:00

It takes 10min to fill an empty tub. It takes 12 to drain a full tub. How long will it take to fill the tub with the plug out?

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  1. 19 April, 01:01
    0
    - - Water pouring into a tub with the drain closed

    fills 1/10 of the tub each minute.

    - - Water draining from a tub with the faucets off

    empties 1/12 of the tub each minute.

    When the faucet is filling AND the drain is draining, the tub collects

    (1/10) - (1/12) of a tub each minute.

    (1/10) - (1/12) = (6/60 - 5/60) = 1/60 of a tub per minute.

    Filling (1/60) (tub/minute) corresponds to the unit rate of (60/1) (minute/tub).
  2. 19 April, 01:26
    0
    After 12 minutes:

    Tub is "2 minutes" full

    After 24 minutes:

    Tub is "4 minutes" full.

    After 36 minutes:

    Tub is "6 minutes" full

    After 48 minutes:

    Tub is "8 minutes" full.

    After 60 minutes:

    Tub is 10 minutes full, or just full

    60 minutes
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