In a grass field, if there are 40 cows, they could eat for 40 days. If there are 30 cows, they could eat for 60 days. Than if 20 cows, How much day they could eat?

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shashi

  • May 23rd, 2005
 

the ans is 60 days... as the ratio becomes 1:3 ie. 20(cows):60(days)

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suresh

  • May 31st, 2005
 

90 days

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pani

  • Jun 2nd, 2005
 

80 days

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Raj

  • Aug 23rd, 2005
 

days = infinity 
 
because  
40 * 40 * amount of grass taken by each cow = intial amount of grass + 40* grass grown per day 
 
similarly make eqn for 60days for 30 cows 
 
=> each day grass grows at the rate of grass intaken by 20 cow per day 
 
so grass taken 20 cows will be grown on next day  

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simon

  • Sep 22nd, 2005
 

if 10 cows r less days increse by 20

so if 20 days incrs by 40

so answer shud b 40+40

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chinmay

  • Nov 8th, 2005
 

the correct answer is 120 days

Sheetal Salunkhe

  • Nov 21st, 2005
 

they could eat for 80 days

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prashant

  • Nov 26th, 2005
 

answer is 30 days

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Karthikkeyan Vijayan

  • Dec 6th, 2005
 

40 cows in 40 days.

30 cows = (40/30)*40 = 160/3 = 53 days.

imagine 'x' unit being taken by 1 cow in 1 day.

30 cows in 40 days qill take their share.

at the end of 40th day

40 (days)*10 (cows) share will be there remaining. (400* x) will be there.

means 1 cows share for 400 days.

30 cows = 400/30 = 13 more days.

so 40+13 = 53 days.

paswan

  • Dec 25th, 2005
 

answer 80

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LEE JUN SU

  • Jan 3rd, 2006
 

Let amount of 1 cow?s eating for 1 day = x

40x * 40 = 30x * 60

x=2 , Total amount is 40*2*40 = 3200

therefore

 3200 = 20*2 * n days , n = 80 days

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sonu

  • Feb 12th, 2006
 

440 days

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softwaregeek

  • Apr 3rd, 2006
 

Zero. Because the farmer sent all the cows to slaugher house as he sold his farm to builder.

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Rahul

  • May 19th, 2006
 

This is correct. 30 days

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priya vadhani

  • Aug 25th, 2006
 

40 cows eat for 40 days

30 cows eat for 60 days

so, 10 less cows the days gained was 20 days

for 20 less cows the days gained (20*2)= 40 days

so, 40+40= 80 days

ans is 80 days

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Jinho Hwang

  • Oct 24th, 2006
 

a : consumption of 1 cow a day

b : growth of grass a day

T : total amount of grass at the begining

40*a*40 = T + 40*b ---- Equation 1)

30*a*60 = T + 60*b

so, b = 10*a

let's say we are looking for x which is the how-many-days to feed 20 cows.

20*a*x = T + x*b <- b = 10a

10*a*x = T ---- Equation 2)

Eq. 2) can be applied to Eq. 1)

Then, x = 120.

So, we can feed 20 cows in a grass for 120 days

hugo

  • Feb 12th, 2007
 

40,4030,60linear co-ordinatesy=mx+cgradient m = 60-40 / 30-40 = -2using point 40,4040=-2(40)+c so C = 120y=-2x+cwhere x = 20-2*20 + 120 = 8020 cows eat for 80 days

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RAVI

  • Mar 16th, 2007
 

MY ANSWER IS 53
COWS         DAYS
 40                40
  30                X

40/30=X/40
X=160/3
THAT`S EQUAL TO
53

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sathyacl

  • Jul 15th, 2008
 

The ans is 120

 cn = F+nr
c- no of cows, n- no of days, F- fixed length of grass,
r- rate at which it grows

40*40=F+40r
30*60=F+60r

r=10, F=1200 
for 20 cow n=120

Suppose initial grass is d, and growth rate is r, so in 40 days 

d + r * 40 = 40 * 40 .......................... (1)
 
In 60 days
d + r * 60 = 30 * 60 ............................(2)
 
In w days
d +  rxw = 20 * w .............................(3)

From eqn { (3) - (2) } / { (3) - (1) }
After solving we will get w = 120 days

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rohit

  • Oct 1st, 2015
 

X+40*r=40*40*C.............1
X+60*r=60*30*C.............2
X+d*r=x*20*c.................3
Solve 1 2 then r=10c.........4
Solve equation 3 by using 4&1
(x=40*40c-40*r)&(r=10c)
Answer 120

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