Wendy jogs a 5.5-mile route in the city with her running club once a week. She also jogs a nature trail near her home once a week. The nature trail is 1.5 times as long as the route in the city. How many miles does Wendy jog in all each week?

Write your answer as a whole number or decimal.
miles

1 answer

To find out how many miles Wendy jogs in all each week, we first need to calculate the length of the nature trail.

The length of the nature trail is 1.5 times the length of the city route. Since the city route is 5.5 miles, we can calculate the length of the nature trail as follows:

\[ \text{Length of nature trail} = 1.5 \times 5.5 = 8.25 \text{ miles} \]

Now, we add the lengths of both routes to find the total distance Wendy jogs each week:

\[ \text{Total distance} = \text{Length of city route} + \text{Length of nature trail} \] \[ \text{Total distance} = 5.5 \text{ miles} + 8.25 \text{ miles} = 13.75 \text{ miles} \]

Thus, the total distance Wendy jogs each week is:

\[ \boxed{13.75} \text{ miles} \]