Question

A painter takes 2 3/5 hours to paint a wall. How many hours will the painter take to paint 8 walls if she works at the same rate?

Answer 1

2 3/5 X 8 = 20.8 hours

Answer 2

Answer:

$20\frac{4}{5}$ hours.

Step-by-step explanation:

We have been given that a painter takes 2 3/5 hours to paint a wall. We are asked to find the time taken by painter to paint 8 walls.

To find time taken by painter to paint 8 walls, we will multiply time taken to paint one wall by 8 as:

$\text{Time taken to paint 8 walls}=8\times 2\frac{3}{5}$

First of all, we will convert our given mixed fraction into improper fraction as shown below:

$2\frac{3}{5}=\frac{2\times 5+3}{5}=\frac{10+3}{5}=\frac{13}{5}$

$\text{Time taken to paint 8 walls}=8\times \frac{13}{5}$

$\text{Time taken to paint 8 walls}=\frac{8\times 13}{5}$

$\text{Time taken to paint 8 walls}=\frac{104}{5}$

$\text{Time taken to paint 8 walls}=\frac{20\times 5+4}{5}$

$\text{Time taken to paint 8 walls}=20\frac{4}{5}$

Therefore, the painter will take $20\frac{4}{5}$ hours to paint 8 walls.