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.
