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Digging Rabbits

Math brain teasers require computations to solve.

 

Puzzle ID:#7759
Fun:*** (2.69)
Difficulty:** (1.98)
Category:Math
Submitted By:hprulz***

 

 

 



If one small rabbit can dig a warren in nine hours, a medium rabbit can dig a warren in 6 hours and a large rabbit can dig a warren in four and a half hours, how long will it take one small, one medium and one large rabbit to dig a warren if they all work together?


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Comments

tissueAus*
Oct 04, 2002

Isn't this basically if man and a half can dig a hole and a half...
stargirl*
Oct 05, 2002

well, that is sorta a good one
hairomero
Oct 07, 2002

What i did was...trial and error..my first instint was 2 hours so i took 2 and divided by # of hours each took. ex. small takes 9 hours so its 2/9..then i took the percentage of that and did that for the other two. It came up to 99% when i added the 3 together so i guess thats correct.
waffle*
Feb 27, 2005

This was really easy. You just have to add some fractions to figure out how much of a warren they can dig in one hour.
waffle*
Feb 27, 2005

This was really easy. You just have to add some fractions to figure out how much of a warren they can dig in one hour.
Jimbo*au*
Jun 04, 2012

An easy way to think about it (9, 6 and 4.5 divide into 1 is to imagine that a warren contains 18 cubic metres of dirt. Rabbit A digs 2 cum/hr, Rabbit B digs 3 cum/hr and rabbit C digs 4 cum/hr. Altogether they dig 9 cum/hr so it takes 2 hours.
Good Teaser.

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