SOLUTION: Can someone help? A lion eats one sheep in 4 hours, a leopard eats one sheep in 5 hours, and a bear eats one sheep in 6 hours. How long would it take the three animals together

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Can someone help? A lion eats one sheep in 4 hours, a leopard eats one sheep in 5 hours, and a bear eats one sheep in 6 hours. How long would it take the three animals together       Log On


   



Question 170192: Can someone help?
A lion eats one sheep in 4 hours, a leopard eats one sheep in 5 hours, and a bear eats one sheep in 6 hours. How long would it take the three animals together to eat one sheep?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = time (in hours) it takes all three to eat one sheep
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x/4 + x/5 + x/6 = 1
30x + 24x + 20x = 120
74x = 120
x = 120/74
x = 1.622 hours
or
1 hour 37 minutes and 18 seconds