Question

If 80 people can finish a work within 16 days by labouring 6 hours a day. Then how many hours per day should 64 people work to complete that job within 15 days?

• A. 10 hours
• B. 15 hours
• C. 8 hours
• D. 5 hours

Answer 1

The correct option is C 8 hours

Let the number of hours required be $x$.
Number of person No. of days No. of hours
80 16 6
64 15 $x$
$\therefore 80\times 16\times 6=64\times 15\times x$
$\Rightarrow x=\frac{80\times 16\times 6}{64\times 15}=8hours$
$\therefore$ 64 people can complete that job within 15 days if they work 8 hours per day.