Respuesta :
Answer:
Anya rode at 8.5 miles per hour.
Step-by-step explanation:
We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.
We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.
Let us find distance covered by Taylor.
[tex]\text{Distance}=\text{Speed*Time}[/tex]
[tex]\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}[/tex]
[tex]\text{Distance covered by Taylor}=12.5*3\text{ Miles}[/tex]
[tex]\text{Distance covered by Taylor}=37.5\text{ Miles}[/tex]
Therefore, Taylor covered 37.5 miles in 3 hours.
Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.
[tex]\text{Distance covered by Anya in 3 hours}=(63-37.5)\text{ Miles}[/tex]
[tex]\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}[/tex]
Now let us find speed at which Anya rode bike.
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed at which Anya rode the bike}=\frac{25.5\text{ Miles}}{3\text{ Hour}}[/tex]
[tex]\text{Speed at which Anya rode the bike}=8.5\frac{\text{ Miles}}{\text{ Hour}}[/tex]
Therefore, Anya rode the bike at the speed of 8.5 miles per hour.
