Question

Deepak can paint $\frac{2}{5}$ of a house in one day. If he continuous working at this rate, how many days will he take to paint the whole house?

• A. $2\frac{1}{2}$ days
• B. $1\frac{1}{2}$ days
• C. $\frac{1}{2}$ days
• D. $2\frac{1}{4}$ days

Answer 1

The correct option is A $2\frac{1}{2}$ days

$\text{Work(W)}\propto \text{Days(D)}\frac{W_1}{D_1}=\frac{W_2}{D_2}$
given,
$W_1=\frac{2}{5}{D}_1=1\text{day}{W}_2=1\text{(painting the whole house)}$
to find, $D_2=?$
$\frac{2/5}{1}=\frac{1}{D_2}\Rightarrow D_2=\frac{5}{2}$
$\therefore D_2=2\frac{1}{2}\text{days}$