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/problem.aspx?id=468
This problem has been attributed to Sir Isaac Newton.
Three cows eat in two weeks all the grass on two acres of land, together with all the grass that grows there in the two weeks. Two cows eat in four weeks all the grass on two acres of land, together with all the grass that grows there in the four weeks. How many cows, then, will eat in six weeks all the grass on six acres of land together with all the grass that grows there in the six weeks? Assume that the quantity of grass on each acre is the same when the cows begin to graze, that the rate of growth is uniform during the time of grazing, and that the cows eat the same amount of grass each week
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/MathPuzzler/Solution084.pdf¡¡¤Ê¤ë¡¡ÌäÂê
Cattle are placed into a pasture containing a given amount of grass per acre, and the grass continues to grow at a constant
rate. If 10 cattle can consume the grass on 8 acres in 15 weeks and if 15 cattle can consume the grass on 8 acres in 9 weeks,
how many cattle would it take to consume the grass on 64 acres in 6 weeks?
We assume that the cattle all eat at the same constant rate.
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