Latest 3i-Infotech Aptitude Question SOLUTION: Q. 40 cows graze a patch in 40 days.30 cows in 60 days.if grass is growing at a some constant rate.fing in how many days will 20 cows finish tht field?

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Q. 40 cows graze a patch in 40 days.30 cows in 60 days.if grass is growing at a some constant rate.fing in how many days will 20 cows finish tht field?

Asked In 3i-Infotech chandreyee chowdhury (10 years ago)

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Dr.Dipin Singh  (10 years ago)

120 days

Let the original qty. of grass be G
let the grass grows at L units per day.
so 40 cows graze (G+40L) in 40 days
and
30 cows graze ( G+60L) in 60 days.
qty. of grass per day eaten by 1 cow per day=(G+40L)/(40x40) = (G+60L)/(30x60)
9(G+40L) = 8(G+60L)
Or, G=120L
qty. of grass per day eaten by 1 cow per day=(G+40L)/(40x40)= 160L/1600=L/10
So, each cow needs L/10 grass per day

suppose 20 cows finish field in D days
Then, 120L + DL = 20*D*L/10
Or, DL = 120L and D=120

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