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Two persons having different productivity of labour, working together can reap a field in 2 days. If one-third of the field was reaped by the first man and rest by the other one working alternatively took 4 days. How long did it take for the faster person to reap the whole field working alone?

Two persons having different productivity of labour, working together can reap a field in 2 days. If one-third of the field was reaped by the first man and rest by the other one working alternatively took 4 days. How long did it take for the faster person to reap the whole field working alone? Correct Answer 3

Total efficiency of two persons = 50%
First Person completes work = $$\frac{1}{3}$$ = 33.33% Rest work will be completed by Second man = $$\frac{2}{3}$$ = 66.66% So, efficiency of second person is greater.Efficiency of second person = $$\frac{{66.66}}{2}$$  = 33.33% per dayThen, Second person will complete whole work in,= $$\frac{{100}}{{33.33}}$$  = 3 days.

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