.
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 simultaneously to consume a single sheep?
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Calculations in the post by @mananth are incorrect/(inadequate to given data).
I came to bring a correct solution.
Individual rates are 1/4, 1/5 and 1/6 for the lion, the leopard and the bear, respectively.
Hence, the combined rate is the sum
+ 
+ 
= 
+ 
+ 
= 
.
It means that the three animals will consume a single sheep in 
hours,
or, approximately, in 1 hour and 38 minutes (rounded up).
Solved correctly.
