# A man started painting a wall of 9:00 a.m. and was able to finish painting 3/5 of it at 10:30 a.m. continuing at this rate at what time will he finish painting the wall? a. 10:45 a.m. b. 11:30 a.m. c. 11:45 a.m. d. 12:15 p.m.

Jun 18, 2018

$b$

#### Explanation:

1.5h=3/5"painting"|:3
$0.5 h = \frac{1}{5} \text{painting} | \cdot 5$
$2.5 h = 1 \text{ painting}$

If he started at 9 a.m. ...
...$9 + 2.5 = 11.5 \approx \text{11:30a.m.}$

Jun 18, 2018

$\textcolor{b l u e}{11 : 30 \text{ a.m.}}$

#### Explanation:

If he started painting at 9:00 a.m and finished at 10:30 a.m. Then he has been painting for 1 and a half hours.

So it took 1.5 hours to paint $\frac{3}{5}$ of the wall, that means he has $\frac{2}{5}$ left to paint.

$\therefore$

$\frac{3}{5} = 1.5 \text{ hrs}$

$\frac{1}{5} = \frac{\frac{3}{5}}{3} = \frac{1.5}{3} = 0.5$

$\frac{2}{5} = 2 \cdot \frac{1}{5} = 2 \cdot 0.5 = 1$

It will take a further 1 hour to complete the painting.

So:

$10 : 30 + 1 \text{hour"=11:30 " a.m} .$