Question

12 persons can complete the work in 18 days. after working for 6 days, 4 more persons added to complete the work fast. in how many more days they will complete the work? 1) 9 2) 8 3) 7 4) 10

Answer 1

( 12 × 18 ) - ( 12 × 6 )

= 216 - 72 = 144

144 ÷ ( 12 + 4 )

= 144/16

= 9 days

Answer 2

Answer:

9 days.

Step-by-step explanation:

Twelve men can complete a work in 18 days.  

12 men 1 day work = $\frac{1}{18}$

12 men 6 days work =$\frac{6}{18} = \frac{1}{3}$

Remaining work =$1-\frac{1}{3}=\frac{2}{3}$

After 6 days 4 more men joined them.

1 men 1 day work =$\frac{1}{18 \times 12}$

16 men 1 day work = $\frac{1}{18 \times 12} \times 16$

                                = $\frac{2}{27}$

So, 16 men complete $\frac{2}{27}$ part of work in days = 1

16 men complete whole work in days = $\frac{1}{\frac{2}{27}}$

16 men complete  $\frac{2}{3}$ part of work in days:

= $\frac{1}{\frac{2}{27}} \times \frac{2}{3}$

=  $9$

So, they will take 9 days more altogether to complete the work .