SOLUTION: A Goat can eat all the grass in a farmer's field, in 12 days, whereas a cow can finish it in 15 days and a horse in 20 days. How long will it be before all the grass is eaten if al

Question 609372: A Goat can eat all the grass in a farmer's field, in 12 days, whereas a cow can finish it in 15 days and a horse in 20 days. How long will it be before all the grass is eaten if all three animals graze in the field.
Answer by flame8855(424) (Show Source): You can put this solution on YOUR website!
12 goat = 1 field per day (fpd)
15 cow = 1 fpd
20 horse = 1 fpd
1 goat eats at the rate of 1/12 fpd
1 cow eats at the rate of 1/15 fpd
1 horse eats at rate of 1/20 fpd
rate of consumption = 1/12 + 1/15 + 1/20 fpd
thats 5/60 + 4/60 + 3/60 = 12/60 fpd
= 1/5 of a field a day.
I make it 5 days
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