To determine how many hours the recruiter spends traveling, we start with the total number of hours in her workweek, which is 40 hours.
Next, we note that she spends [tex]\( \frac{2}{5} \)[/tex] of her time traveling. To find out how many hours this fraction represents, we multiply the total number of hours by this fraction.
First, we express the fraction:
[tex]\[ \text{Fraction of time spent traveling} = \frac{2}{5} \][/tex]
Now we calculate the hours by multiplying this fraction with the total workweek hours:
[tex]\[ \text{Hours spent traveling} = 40 \, \text{hours} \times \frac{2}{5} \][/tex]
Performing this multiplication:
[tex]\[ \text{Hours spent traveling} = 40 \times 0.4 \][/tex]
[tex]\[ \text{Hours spent traveling} = 16.0 \, \text{hours} \][/tex]
So, the recruiter spends 16 hours traveling during her 40-hour workweek.
