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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 15.
Given:
3 goats or 5 sheep can graze a field in 54 days
Calculations:
Let the number of goat and sheep be G and S.
⇒ 3 G = 5 S
⇒ G/S = 5/3
Total work = 3 × 5 × 54 = 810
Now,
Work done by 6 goats and 8 sheep = 6G + 8S
⇒ 6 × 5 + 8 × 3
⇒ 30 + 24 = 54
Number of days = Total work/(6G + 8S)
Number of days = 810/(54)
Number of days = 15