Respuesta :
Answer:
696 miles at the first day, and 174 miles at the second day.
Step-by-step explanation:
Given:
Richard and Linda enjoy visiting Hilton Head Island, South Carolina.
The distance from their home to Hilton Head is 870 miles.
So, the drive takes them 2 days.
Richard and Linda travel four times as far the first day as they do the second day.
Question asked:
How many miles do they travel each day?
Solution:
Let Richard and Linda traveled at the first day = [tex]x\ miles[/tex]
Then Richard and Linda traveled at the second day will be = [tex]4x\ miles[/tex]
Total distance from their home to Hilton Head = 870 miles
Traveled at the first day in miles + Traveled at the second day = 870
[tex]4x+x=870\\ \\ 5x=870\\ \\ Dividing\ both\ sides\ by\ 5\\ \\ x=174\ miles[/tex]
By substituting the value:
Richard and Linda traveled at the first day = [tex]x\ miles[/tex] = 174 miles
Richard and Linda traveled at the second day will be = [tex]4x\ miles[/tex]
[tex]=4\times174=696\ miles[/tex]
Therefore, they traveled 696 miles at the first day and 174 miles at the second day.
Answer:
On 1st day they traveled 696 miles and on 2nd day 174 miles.
Step-by-step explanation:
Given:
Total distance traveled is 870 miles
It took 2 days.
To Find:
Distance traveled on individual day.
Solution:
Consider 2 variables x and y be distance traveled on 1st and 2nd day respectively.
x=distance traveled on 1st day.
y=distance traveled on 2 day.
So by given equation,
x+y=870 .
and they traveled 1st day 4 times as on 2nd day
x=4y
Hence above equation becomes,
x+y=870
4y+y=870
5y=870
y=870/5
y=174 miles
So they traveled 174 miles on 2nd day
Now for 1st day traveled distance
x=4y
=4(174)
x=696 miles
or x+y=870
x+174=870
x=870-174
x=696 miles
Hence they both traveled 696 miles on 1st day
