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55 Cows Can Graze a Field in 16 Days. How Many Cows Will Graze the Same Field in 10 Days?

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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?

Answer in Brief
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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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