Question

A contractor engages 24 workers to construct a road in 30 days. After 24 days he finds that 1/4 of the job is left. Calculate how many more workers he should engage in order to finish the road on time.​

Answer 1

Given :

The number of worker engages for construction = 24

The time period for construction = 30 days

After 24 days he finds that $\dfrac{1}{4}$ of the job is left

To Find :

Number of more workers he should engage in order to finish the road on time.​

Solution :

Let The number of extra worker required = x

∵ After 24 days $\dfrac{1}{4}$  of the job is left

So, In 24 days , worked done = 1 - $\dfrac{1}{4}$  

                                                 = $\dfrac{3}{4}$

∵     $\dfrac{Men \times Days }{Work}$  =  constant

So,   $\dfrac{24 \times 24 }{\dfrac{3}{4} }$  =   $\dfrac{(24+x) \times 6 }{\dfrac{1}{4} }$

Or,  24 × 24 = 3 × ( 24 + x ) × 6

Or,   ( 24 + x ) = $\dfrac{576}{18}$

Or,  24 + x = 32

∴      x = 32 - 24

i.e   x = 8

Hence, The number of extra worker required to finish work ion time is 8 . Answer