Archit3110 wrote:

cfc198 wrote:

Grass in pasture grows equally thick and at a uniform rate. It takes 24 days for 70 cows to graze the pasture completely. However if there were only 30 cows, they could graze the entire pasture for 60 days. How many cows will graze the entire pasture in 96 days?

(A) 48

(B) 18

(C) 20

(D) 25

(E) 32

cfc198hi is the question posted correct?

I am getting answer as 18 ..

could you please post solution.

when field is grazed in 24 days, we need 24 × 70 i.e. 1680 cow-days

when field is grazed in 60 days, we need 60 × 30 i.e. 1800 cow-days.

Thus, an increase of 36 days necessitated an additional 120 cow-days

If field has to last for 96 days, i.e. a further 36 days (from 60 days), a

further 120 cow-days would be needed. Thus, total cow-days needed for

the field to last 96 days is 1800 + 120 = 1920.

1920 cow-days, with days being 96 implies, the number of cows is

1920/ 96 = 20