A contractor undertakes to build a wall 1000 metre long in 50 days. He employs 56 men, but at the end of 27 days, he finds that only 448 metre of the wall is built. How many extra men must the contractor employ, so that the wall is completed in time?
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ANSWERWall Built = 448m; Time Taken = 27 days; Men working = 56 men
Wall built by 56 men in 1 day = 448/27m
Wall 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/189m
Wall built by x no. of men in 23 days =(56*23)x/189 = 1288x/189
Thus,
1288x/189 = 552 (As x no. of men have to build 552m of wall)
1288x = 104328
x = 104328/1288
x = 81 men
Therefore, extra men required = 81-56
= 25 men
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