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The number of cows that can graze on 20 acres of grass depends on various factors, including the type of grass, the quality of the pasture, and the grazing management practices used. On average, a general rule of thumb is about 1 cow per 1.5 to 2 acres for good quality pasture. Therefore, 20 acres could support approximately 10 to 13 cows, but this can vary widely based on specific conditions. Proper rotational grazing can also help increase the carrying capacity of the land.

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It is known that 40 cows can graze on a pasture for 40 days before the grass is exhausted but 30 cows can graze there as long as 60 days How many would the pasture last if 20 Cows were to graze on it?

If 40 cows can graze the pasture for 40 days and 30 cows can graze it for 60 days, this means each cow eats 1/40 of the grass per day in the first scenario and 1/60 of the grass per day in the second scenario. To find out how long 20 cows would take to graze the pasture, we calculate that they would consume 1/40 * 20 = 0.5 of the grass per day. Therefore, the pasture would last for 80 days if 20 cows were to graze on it.


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THE ACTUAL QUESTION IS THIS..............................................................3 cows graze the field in 3 days and 2 cows graze the field in 6 days then how many days does it take 1 cow to graze the complete field?mathematical answer-------------------------------------------letone cow graze th field in n daysinitially length of the grass = g.grazing rate for the cow= r;growing rate of the grass =R;nowg+ no.of days* grazing rate=no. of the cows *no. of days *grazing rate.g+3*R=3*3*r ---------->(1)g+6*R=2*6*r ---------->(2)g+n*R=1*n*r ----------->(3)on solving the equation (1) and (2)r =Ri.e. grazing rate = Growing ratehencewe can say that one cow can not finish the grass from the fieldmanuallyput r =R in equation (4).g+n*r=n*r (Invalid equation )without using mathematic we can also solve it logically-----------------------------------------------------------------------------------as we know that grass is continuously growing, if cow is grazing at one place, grass id growing at other places, hence it can not be finishedSaurabh Tripathi @ vasudhaika Software Solution Pvt.Ltd Hyderabad


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