A) 40 days
B) 60 days
C) 50 days
D) 55 days
E) None of these
Correct Answer: B
Solution :
Explanation Option [b] is correct. According to the question, Time taken by 8 cows = Time taken by 6 oxen. Time taken by 1 cow = Time taken by \[\frac{6}{8}\] oxen. Time taken by 2 cows = \[\frac{6}{8}\times 2=\frac{3}{2}\,\,oxen\,\,\,\,.\] 1 ox and 2 cows = 1 oxen + \[\frac{3}{2}\,\] oxen = \[\frac{2+3}{2}\] = \[\frac{5}{2}\] oxen. Now, 6 oxen can graze the field in 25 days 1 oxen can graze the field in \[25\times ~6=150\text{ }days.\] \[\frac{5}{2}\] oxen (1 oxen and 2 cows) can graze the field in \[\frac{150}{2.5}~=60\text{ }days\]
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