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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?

A

12 days

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B

17 days

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C

32 days

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D

9 days

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Solution

The correct option is D: 16 days

4 oxen =12 cows

1 oxen =124=3 cows

7 oxen3×7 cows=21 cows

(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, inverse relation]

24 cows can graze the field in 32×1224=16 days
[more cows, less days, inverse relation]

Hence, 7 oxen and 3 cows can graze the field in 16 days
.


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