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IN a lawn,grass grows equally thick and uniform rate every day.It takes 24days for 70 cows
to graze and 60 days for 30 cows.How many cows are required to graze lawn in 96 days.
Read Solution (Total 3)
-
- 20 cows
If C is the amount of grass eaten by one cow every day
and G is amt of grass growing every day,
x is the initial amount of grass, then
x+24G= 70*24*C
x+60G= 30*60*C
solving, G = (10/3)*C
x= 1600C
If n cows are required to graze lawn in 96 days,
1600C+ 96G= 96*n*C
1600C+320C=96nC
n=20 cows
- 9 years agoHelpfull: Yes(19) No(2)
- (x+24y)*70=30*(x+60y)
x=3y
for 96 days suppose k cows require
x+96y=99y
99y*k=63y*30
k=20
- 9 years agoHelpfull: Yes(6) No(1)
- 135 cows
84 days=100 cows
96 days=100+35
135 - 9 years agoHelpfull: Yes(0) No(0)
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