SOLUTION: a lion eats an antilope in 2 hours. a tiger eats an antilope in 4 hours. a jackal eats it in 6 hours. how many hours does it take for all 3 predators to eat an antilope? thanks

Algebra ->  Equations -> SOLUTION: a lion eats an antilope in 2 hours. a tiger eats an antilope in 4 hours. a jackal eats it in 6 hours. how many hours does it take for all 3 predators to eat an antilope? thanks      Log On


   

Question 824071: a lion eats an antilope in 2 hours. a tiger eats an antilope in 4 hours. a jackal eats it in 6 hours. how many hours does it take for all 3 predators to eat an antilope? thanks
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Some confusion has been found in your own examinations in this, so I will work through that expression.

The combined rate in Antelopes Per Hours is %281%2F2%2B1%2F4%2B1%2F6%29=6%2F12%2B3%2F12%2B2%2F12=11%2F12 as you found. That is 11%2F12 Antelopes Per Hour.

Using the reciprocal will be in units of Hours per Antelope.
This is highlight_green%2812%2F11%29 Hours Per Antelope. As a decimal value, this is highlight%281.090909%29.... HOURS (repeating decimal because of remainder 1%2F11). AS MINUTES, this is highlight%2860%2812%2F11%29=65.454545%29... also repeating decimal, MINUTES for the group to eat the 1 antelope.

Putting the 12/11 hours per antelope into mixed units, this is 1 hour 5 minutes 27 seconds. To be more sensible, this would mean for accuracy purposes, about 1 hour 6 minutes or maybe 1 hour 5 minutes.