Question

Mr. X has to build a wall 1000 meters long in 50 days. He employs 56 men but at the end of 27 days finds that only 448 meters are built. How many more men must be employed so that the work may be finished in time?

Answer 1

56 men working for 27 days completes 448 meters

1 men working for 27 days completes (448/56) = 8 meters

1 men working for 1 day completes  (8/27) meters

Remaining work = 1000 - 448 = 552 meters

Remaining  days = 50 - 27 = 23 days

1 men working for 23 days complete (8/27) × 23 = 184/27 meters

No of men required to complete 552 meters in 23 days = 552 ÷ 184/27

             = (552 × 27) / 184 = 81 mens

56 men are already working

so number of more men require = 81 -56 = 25

hence 25 more men needs to be employed to finish work in 50 days