arithmetic - a building construction is to be completed in 46 days and 117 men were said to work 8 hours a day after 33 days 47 of the work is completed how many additional men may be employed so that the construction may be completed in time each man now w - skillgun

Remaining work = (1-(4/7) =(3/7)
Remaining period = (46 - 33) days = 13days
Let the total men working at it be x.
Less work, Less men (Direct Proportion)
Less days, More men (Indirect Proportion)
More Hours per Day, Less men (Indirect Proportion)
Work (4/7) : (3/7)
Days 13:33
Men : 117: x
Hrs/day 9 : 8
Therefore (4/7) x 13 x 9 x x =(3/7) x 33 x 8 x 117 or x=(3 x 33 x 8 x 117)/(4 x 13 x 9)=198
Additional men to be employed = (198 - 117) = 81.