10 horses can graze a field in 14 days, and 10 sheep take 28 days to graze the same field. How many days will 5 horses and 10 sheep take to graze the same field?
10 horses can graze a field in 14 days, and 10 sheep take 28 days to graze the same field.
$$10H \times 14 =Â 10S \times 28$$
H = 2SÂ Â Eq.(i)
Let's assume 5 horses and 10 sheep take 'y' days to graze the same field.
$$(5H+10S)y = 10S \times 28$$
Put Eq.(i) in the above equation.
$$(5\times2S+10S)y = 10S \times 28$$
$$(10S+10S)y = 10S \times 28$$
20Sy = 280S
y = 14 days
So 5 horses and 10 sheep take 14 days to graze the same field.
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