SOLUTION: a lion devours a sheep in 4 hours. a leopard devours a sheep in 5 hours. a bear devours a sheep in 6 hours. how long will it take the three animals eating simultaneosly to consume

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Question 425874: a lion devours a sheep in 4 hours. a leopard devours a sheep in 5 hours. a bear devours a sheep in 6 hours. how long will it take the three animals eating simultaneosly to consume a single sheep?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Eating a complete sheep is one job
Lion 4 hours
It does 1/ 4 of the job in 1 hour
Leopard 5 hours
It does 1/ 5 of thejob in 1 hour
Bear 6 hours
It does 1/6 of the job in 1hour

Together they will do 1/4+ 1/12+ 1/6
Together they will do 1/ 2 of the job in one hour
So they will take 2 hours
So they will take 2 hours to eat the sheep