Given:
Hudson wants to ride his bicycle 51 miles this week.
He has already ridden 12 miles.
He rides for 6 more days.
To find:
The average number of miles he would have to ride each day to meet his goal.
Solution:
Let x be the average number of miles he would have to ride each day to meet his goal.
Miles already ridden = 12
Number of remaining days = 6
Number of miles he ride his bicycle in 6 days = 6x
[tex]\text{Total miles for a week}=12+6x[/tex]
Hudson wants to ride his bicycle 51 miles this week.
[tex]12+6x=51[/tex]
[tex]6x=51-12[/tex]
[tex]6x=39[/tex]
Divide both sides by 6.
[tex]x=\dfrac{39}{6}[/tex]
[tex]x=6.5[/tex]
Therefore, the average number of miles he would have to ride each day to meet his goal is 6.5 miles per day.
