Discussion

Question:

10 horses and 15 cows eat grass of 5 acres in a certain time. How many acres will feed 15 horses and 10 cows for the same time , supposing a horse eats as much as 3 cows.

Explanation:

10 horses and 15 cows can graze 5 acres of land in say d days.

15 horses and 10 cows can graze x acres of land in say d days.

∴ $\frac{(10 h + 15 c) \times d}{5}$ = $\frac{(15 h + 10 c) \times d}{x}$

Given, 1 horse eats as much as 3 cows: h = 3c

⇒ $\frac{(30 c + 15 c)}{5}$ = $\frac{(45 c + 10 c)}{x}$

⇒ x = 55/9 acres

Hence, option (d).

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