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

Wendy jogs 13.75 mile in all each week

Step-by-step explanation:

To determine how many miles Wendy jogs in all each week,

we will sum the distance she jogs in the city with her running club in a week to the distance she jogs along the nature trail near her home in a week.

The distance she jugs with her running club = 5.5 mile.

Now, we will determine the distance of the nature trail near her home.

From the question, the nature trail is 1.5 times as long as the route in the city.

Let the distance of the nature trail =

and the distance of the route in the city be

Hence, we can write that

distance of the route in the city, = 5.5 mile

∴

 8.25 miles

Hence, the nature trail is 8.25 mile

Then, the number of miles Wendy jogs in all each week is

5.5 mile + 8.25 mile = 13.75 mile

Hence, Wendy jogs 13.75 mile in all each week

x/3-10=8

x/3=18

x=48