Home > Practice > Arithmetic Aptitude > Time and Work > Miscellaneous
1. 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?
First Person completes work = = 33.33% [In 2 days]
Rest work will be completed by Second man = = 66.66% [In 2 days]
So, efficiency of second person is greater.
Efficiency of second person = = 33.33% per day
Then, Second person will complete whole work in,
= = 3 days.
Solution:
Total efficiency of two persons = 50% [As they complete work in 2 days. ]First Person completes work = = 33.33% [In 2 days]
Rest work will be completed by Second man = = 66.66% [In 2 days]
So, efficiency of second person is greater.
Efficiency of second person = = 33.33% per day
Then, Second person will complete whole work in,
= = 3 days.