15 men can finish a work in 20 days, however it takes 24 women to finish it in 20 days. If 10 men and 8 women undertake to complete the work, then they will take

Given, 15 men can finish a work in 20 days

$$=$$> 1 man can finish the work in $$20\times15=300$$ days

$$=$$> Work done by 1 man in 1 day = $$\frac{1}{300}$$

24 women can finish the work in 20 days

$$=$$> 1 woman can finish the work in $$20\times24=480$$ days

$$=$$> Work done by 1 woman in 1 day = $$\frac{1}{480}$$

$$\therefore\ $$Work done by 10 men and 8 women in 1 day = $$10\left(\frac{1}{300}\right)+8\left(\frac{1}{400}\right)=\frac{1}{30}+\frac{1}{60}=\frac{1}{20}$$

$$=$$> Number of days required to complete the work by 10 men and 8 women = 20 days

Hence, the correct answer is Option B