SOLUTION: a goat eats 214 kg of hay in 60 days, while a cow eats the same amount in 15 days. In how many days would they eat 214 kg of hay together.

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Question 822041: a goat eats 214 kg of hay in 60 days, while a cow eats the same amount in 15 days. In how many days would they eat 214 kg of hay together.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
View the rates as kilograms of hay per day. The rates of the goat and the cow are additive simply.

Goat rate + cow rate = combined rate of goat and cow.
214%2F60%2B214%2F15=C, letting C = their combined rate in kilograms per day.

214%2F60%2B%28214%2F15%29%284%2F4%29=214%2F60%2B856%2F60=1070%2F60=107%2F6, kilograms per day.
This also means, 107 kilograms in 6 days.

How many days, d, for both together to eat 214 kilograms of hay?
%28107%2F6%29%2Ad=214
d=214%286%2F107%29=12 days.