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45
Q:

A contractor undertakes to complete a work in 130 days. He employs 150 men for 25 days and they complete 1/4 of the work . He then reduces the number of men to 100, who work for 60 days, after which there are 10 days holidays.How many men must be employed for the remaining period to finish the work? 

Answer:



150 men in 25 days do = 14 work  


Let 1 man in 1 day does = x  work  


Total work done by 150 men in 25 days = 150x *  25 = 14   work => x = 115000   


Therefore, 100 men in 60 days do = 100 * 60x = 6000x work = 6/15 = 2/5


Total work done =14 + 25 = 1320 


Therefore, Remaining work = 1 - 1320 = 720  


Remaining time = 130 - (25+60+10) = 35 days 


Therefore, work is done in 25 days by 150 men.


Therefore, Work is done in 35 days by 150 men.


Hence, he should employ 50 more men.
Filed Under: Time and Work - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , AIEEE
Job Role: Bank PO
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