If 30 oxen can plough $$\frac{1}{7}$$ th of a field in 2 days, how many days 18 oxen will take to do the remaining work?
a) 30 days
b) 20 days
c) 15 days
d) 18 days
Answer: b
Explanation: We will use work equivalence method,
$$\eqalign{
& \frac{{30}}{{18}} = \frac{{ {\frac{1}{7}} }}{{ {\frac{6}{7}} }} \times \frac{x}{2} \cr
& \frac{5}{3} = {\frac{1}{6}} \times \frac{x}{2} \cr
& \,x = \frac{{60}}{3} = 20\,{\text{days}} \cr} $$
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