Beach Day by Rodger Bliss
September 2022
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Wacka-Mole

If one small mole can dig a mole hole in nine hours, a medium mole can dig a mole hole in 6 hours and a large mole can dig a mole hole in four and a half hours. How long will it take one small, one medium and one large mole to dig a mole hole if they all work together?

 

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3 guesses to Wacka-Mole


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  • Roolstar

    1 large mole equivalent to 2 small moles
    1 medium mole equivalent to 1.5 small moles

    => 1 small + 1 medium + 1 large equivalent to 4.5 small

    => it will take them 2 hours to complete a hole

  • Dude

    You are correct, Roolstar!

    Here’s another way to figure it:

    2 hours.

    The small mole can dig a mole hole in nine hours so digs 1/9 in one hour.
    The medium mole can dig a mole hole in 6 hours so digs 1/6 in one hour.
    The large mole can dig a mole hole in four and a half hours so digs 1/4.5 in one hour.

    1/9 + 1/6 + 1/4.5 = 0.5. So in one hour, they have dug half a mole hole between them, the whole mole hole will therefore take 2 hours.

    You are today’s winner.

  • I think trio will take 2 hours to dig a hole if they all worked together.
    Check this brainteaser if you wish –
    http://www.iqtestexperts.com/brainteasers/