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Question
55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?
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Solution
Let x be the number of cows that can graze the field in 10 days .
| Number of days | 16 | 10 |
| Number of cows | 55 | x |
\[\text{ Since the number of cows and the number of days taken by them to graze the field are in inverse variation, we have } : \]
\[16 \times 55 = 10 \times x\]
\[ \Rightarrow x = \frac{16 \times 55}{10}\]
\[ = 88\]
\[ \therefore \text{ The required number of cows is 88 } \]
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