Question
4 oxen or 12 cows can graze a field in 32 days. How long would 7 oxen and 3 cows take to graze the same field?
Answer: Option D
:
D
4 oxen = 12 cows
⇒ 1 ox = 124 cows
⇒7oxen≡124×7cows=21cows
⇒ (7 oxen + 3 cows) ≡ (21 cows + 3 cows) = 24 cows
Now, 12 cows can graze the field in 32 days.
So, 1 cow can graze the field in (32×12) days.
[less cows, more days]
24 cows can graze the field in 32×1224=16days
[more cows, less days]
Hence, 9 oxen and 3 cows can graze the field in 16 days.
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:
D
4 oxen = 12 cows
⇒ 1 ox = 124 cows
⇒7oxen≡124×7cows=21cows
⇒ (7 oxen + 3 cows) ≡ (21 cows + 3 cows) = 24 cows
Now, 12 cows can graze the field in 32 days.
So, 1 cow can graze the field in (32×12) days.
[less cows, more days]
24 cows can graze the field in 32×1224=16days
[more cows, less days]
Hence, 9 oxen and 3 cows can graze the field in 16 days.
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