Question

Taylor and Anya are friends who live 63 miles apart. Sometimes on a Saturday, they ride toward each other's houses on their bikes and meet in between. One day they left their houses at 8 am and met at 11 am. Taylor rode at 12.5 miles per hour. How fast did Anya ride?

Answer 1

Anya rode at 8.5 miles per hour.

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.

`\text{Distance}=\text{Speed*Time}`

`\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}`

`\text{Distance covered by Taylor}=12.5*3\text{ Miles}`

`\text{Distance covered by Taylor}=37.5\text{ Miles}`

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.

`\text{Distance covered by Anya in 3 hours}=(63-37.5)\text{ Miles}`

`\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}`

Now let us find speed at which Anya rode bike.

`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`

`\text{Speed at which Anya rode the bike}=\frac{25.5\text{ Miles}}{3\text{ Hour}}`

`\text{Speed at which Anya rode the bike}=8.5\frac{\text{ Miles}}{\text{ Hour}}`

Therefore, Anya rode the bike at the speed of 8.5 miles per hour.