Question

.A contractor undertakes to build a wall
1000 m long in 50 days. He employs 56 men,
but at the end of 27 days, he finds that only
448 m of wall is built. How many extra men
must the contractor employ so that the wall is
completed in time?​

Answer 1

Answer:

Step-by-step explanation:

Wall 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

Answer 2

Total time given =50 days.

Wall to be build =1000 m

On 27th day 448 m of wall is built,

Remaining days =23, remaining wall =552 m.

In 27 days, 448 m of wall is built by 56 employee.

In 1 day 1 m of wall is built by 56×27/448 employee

In 23 days, 552 m of wall is built by x employee.

$⟹x= \frac{56 \times 27 \times 552}{448} \: \: employee$

So, no. of employee required =81−56=25.