# 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?

### 3 guesses to Wacka-Mole

• 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/