Question

If $6$ painters can complete $9$ drawing in $5$ hours then. Find the time taken by a painter to complete $10$ drawings.

• A. $\frac{5}{2}$ hr
• B. $3$ hr
• C. $\frac{7}{2}$ hr
• D. $\frac{9}{2}$ hr

Answer 1

The correct option is D $\frac{9}{2}$ hr

$6$ painters complete $9$ drawings in $5$ hours, then $x$ hours will be required to complete $10$ drawings.

Therefore, $9\times 6=k=10\times x$

$\Rightarrow 45=16\times x$

$\Rightarrow x=\frac{45}{10}=\frac{9}{2}$