a) 40 days
b) 50 days
c) 60 days
d) 70 days
correct answer is:
c) 60 days
Explanation
4 boys = 3 men
\therefore 1 boys =\large\frac{3}{4} men
\therefore 8 boys =\large\frac{3\times8}{4} men
\rightarrow 6 men.
So, 7 men and 8 boys =\left(7+6\right) men
\rightarrow 13 men.
![If 3 men or 4 boys, working 8 hours per day can do a work in 65 days](https://sciencesparkle.com/wp-content/uploads/2024/04/If-3-men-or-4-boys-working-8-hours-per-day-can-do-a-work-in-65-days-1024x176.png)
Here,
Men and Hours are inversely proportional to Days.
and, Work and Days are Directly proportional.
\therefore x=65\times\large\frac{3}{13}\normalsize\times\large\frac{8}{10}\normalsize\times\large\frac{5}{1}
\rightarrow x=60 Days
Ans: 7 men and 8 boys, each working for 10 hours per day, will complete 5 times the previous amount of work in 60 days.