Question : If 3 goats or 5 sheep can graze a field in 54 days, then in how many days can 6 goats and 8 sheep graze the same field?
Option 1: 15
Option 2: 12
Option 3: 10
Option 4: 8
Correct Answer: 15
Solution :
Given,
3 goats are equivalent 5 sheep
6 goats are equivalent to $5\times\frac{6}{3}$ sheep = 10 sheep
6 goats and 8 sheep are equivalent to (10 + 8) sheep = 18 sheep
Given,
5 sheep can graze the field in 54 days.
So, 18 sheep can gaze a field in $54\times\frac{5}{18}$ = 15 days
Hence, the correct answer is 15.
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