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11. A contractor undertakes to build a wall1000 m long in 50 days. He employs 56 men,but at the end of 27 days, he finds that only448 m of wall is built. How many extra menmust the contractor employ so that the wall iscompleted in time?

Answer»

Wall Built = 448m; Time Taken =27 days; Men working = 56 men

Wall builtby 56 men in 1 day = 448/27mWall built by 1 man in 1 day = 448/(27x56) = 56/189m

Now,Wall left to be built = 552m; Time left = 23 days;Total men required to complete the rest of work = x

Wall built by x no. of men in 1 day = 56x/189mWall built by x no. of men in 23 days =(56*23)x/189 = 1288x/189Thus,1288x/189 = 552 (As x no. of men have to build 552m of wall)1288x = 104328x = 104328/1288x= 81menTherefore, extra men required = 81-56 = 25 men



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