arithmetic - a house is to be constructed in 46 days and 117 men were set to work each working 8 hours a day after 33 days 47 of the work is completed how many additional men may be employed so that the work may be completed in time each man now working 9 ho - skillgun

Solution: Remaining work = (1-4/7) = 3/7. remaining period =(46-33)days = 13 days.
Let the total men working at it be x.
Less work, less men (Direct proportion)
Less days, more men (Indirect proportion)
More hrs/day, less men (Indirect proportion)
work 4/7 : 3/7
Days 13 : 33 } : : 117 : x
Hrs/Day 9 : 8
.'. 4/7*13*9*x = 3/7*33*8*117 or x = ((3*33*8*117)/4*13*9) = 198.
.'. Additional men to be employed = (198-117) = 81.