Question

There are two neighbours, one has 6 oxen and
other has 8 cows, and they have common field
for the grazing of the cattle. They use the field
for their cattle turn wise for feeding them. The 6
oxen or the 8 cows can graze the field in 25
days. In how much time will 1 ox and 2 cows
graze the same field if left together?​

Answer 1

According to the question,

Time taken to graze by 8 cows = Time taken to graze by 6 oxen.        

Time taken by 1 cow = Time taken by 6/8 oxen.

Time taken by 2 cows =6/8×2=3/2 oxen.

1 ox and 2 cows = 1 oxen + 3/2 oxen =2+3/2=5/2 oxen.

Now, 6 oxen can graze the entire field in 25 days

1 ox can graze the field in 25×6=150 days.

5/2 oxen can graze the field in 150/2.5= 60 days.