Answer:
24 kilometers
Step-by-step explanation:
Given
Represent the distance with x
[tex]x = 2km\ 400m[/tex]
Required
The distance covered for 5 days (i.e. Monday to Friday)
First, we calculate the distance covered in a day
He covers the same distance when going to school and when coming back from school.
So, the daily distance is:
[tex]Daily = 2 * x[/tex]
[tex]Daily = 2 * (2km\ 400m)[/tex]
[tex]Daily = 4km\ 800m[/tex]
In 5 days, he covers:
[tex]5\ days = 5 * Daily[/tex]
[tex]5\ days = 5 * (4km\ 800m)[/tex]
[tex]5\ days = 5 * (4km+ 800m)[/tex]
Open bracket
[tex]5\ days = 5 * 4km+ 5 * 800m[/tex]
[tex]5\ days = 20km+ 4000m[/tex]
Convert m to km
[tex]5\ days = 20km+ 4km[/tex]
[tex]5\ days = 24km[/tex]