Question

$75$ boys do a piece of work in $24$ days, How many men will finish double the work in $20$ days when one day's work of $2$ men is equal to one days work of $3$ boys ?

• A. $100$ men
• B. $150$ men
• C. $120$ men
• D. $80$ men

Answer 1

Answer: (C)

$120$ men

The work of $3$ boys $=$ the work of $2$ men.

$\therefore$ the work of $75$ boys $=\frac{2}{3}\times 75$ men

$=50$ men.

So, $50$ men finish the work in $24$ days.

$\therefore$ in $20$ days the work is finished by $50\times \frac{24}{20}$days $=60$ men.

$\therefore$ Double the work will be finished by $60\times 2$ men $=120$ men.

Ans- Option C.