Answer:
Step-by-step explanation:
Yesterday, her rate was 8mph, her time was x hours.
Today, her rate was 13mph, her time was 13 - x hours.
So the total distance she biked on the two days is
d = 8x + 13(13 - x), or 169 - 5x
Answer:
[tex]8x+13(9-x)[/tex] or [tex]-5x+117[/tex] miles.
Step-by-step explanation:
Let x represent number of hours Carmen biked yesterday.
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
We have been given that yesterday Carmen's average speed was 8
miles per hour. So distance covered in x hours would be [tex]8x[/tex].
We are also told that Carmen biked for a combined total time of 9
hours. So the number of hours biked second day would be [tex]9-x[/tex]. The distance covered in [tex]9-x[/tex] at a speed of 13 miles per hour would be [tex]13(9-x)[/tex].
Total distance covered by Carmen would be: [tex]8x+13(9-x)[/tex]
[tex]8x+117-13x[/tex]
[tex]8x-13x+117[/tex]
[tex]-5x+117[/tex]
Therefore, the total distance covered by Carmen in the two days would be [tex]-5x+117[/tex] miles.
