Latest SSC Aptitude Question SOLUTION: 29 sheep can feed a uniformly growing grass in 7 days and 25 sheep can feed the same in 9 days. How many sheep will be required to feed it in 6 days?

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(#M40165238) SSC Numerical Ability question Time and Work Keep an EYE

29 sheep can feed a uniformly growing grass in 7 days and 25 sheep can feed the same in 9 days. How many sheep will be required to feed it in 6 days?

Asked In SSC Navpreet singh (6 years ago)

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Devendra Marghade  (6 years ago)

31 sheeps

Let each sheep can eat 'x' quantity of grass and growth rate is 'y' per day, then
Total grass eaten by 29 sheep in 7 days = grass eaten by 25 sheep in 9 days
=> 29x + 7y = 25x + 9y
=> 4x=2y or y=2x
Thus total quantity of grass=29x + 7(2x) or 25x + 9(2x) = 43x
Let 'a' number of sheep are required to feed the same grass in 6 days, then 43x = ax + 6y
=> 43x = ax + 6(2x)
=> a=31

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