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Question
Grass in lawn grows equally thick and in a uniform rate. It 
takes 24 days for 70 cows and 60 days for 30 cows to eat 
the whole of the grass. 

How many cows are needed to eat the grass in 96 days?
 Question Submitted By :: General-Aptitude
I also faced this Question!!     Answer Posted By  
 
Answer
# 1
20 cows

g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat the grass in 96 days

From given data,
g + 24*r = 70 * 24 * y ---------- A
g + 60*r = 30 * 60 * y ---------- B
g + 96*r = n * 96 * y ---------- C

Solving for (B-A),
(60 * r) - (24 * r) = (30 * 60 * y) - (70 * 24 * y)
36 * r = 120 * y ---------- D

Solving for (C-B),
(96 * r) - (60 * r) = (n * 96 * y) - (30 * 60 * y)
36 * r = (n * 96 - 30 * 60) * y
120 * y = (n * 96 - 30 * 60) * y [From D]
120 = (n * 96 - 1800)
n = 20

Hence, 20 cows are needed to eat the grass in 96 days.
 
Is This Answer Correct ?    71 Yes 17 No
Guest
 
Answer
# 2
18 
Is This Answer Correct ?    11 Yes 28 No
Guest
 
 
 

 
 
 
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