Maya travels
faster than Kelly !
Difference in distance is : ![106.76-56.52 = 50.24 feet](https://tex.z-dn.net/?f=106.76-56.52%20%3D%2050.24%20feet)
<u>Step-by-step explanation:</u>
Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:
Kelly is riding on the inner ring, which has a radius of 9 feet
Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.
⇒ ![Distance = 2\pi r](https://tex.z-dn.net/?f=Distance%20%3D%202%5Cpi%20r)
⇒ ![Distance = 2(3.14) 9](https://tex.z-dn.net/?f=Distance%20%3D%202%283.14%29%209)
⇒ ![Distance = 56.52feet](https://tex.z-dn.net/?f=Distance%20%3D%2056.52feet)
Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .
Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.
⇒ ![Distance = 2\pi r](https://tex.z-dn.net/?f=Distance%20%3D%202%5Cpi%20r)
⇒ ![Distance = 2(3.14) 17](https://tex.z-dn.net/?f=Distance%20%3D%202%283.14%29%2017)
⇒ ![Distance = 106.76feet](https://tex.z-dn.net/?f=Distance%20%3D%20106.76feet)
Therefore , Difference in distance is : ![106.76-56.52 = 50.24 feet](https://tex.z-dn.net/?f=106.76-56.52%20%3D%2050.24%20feet)
Now , Speed of both is give by
⇒
And ,
⇒ ![Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec](https://tex.z-dn.net/?f=Speed_M_a_y_a%3D%5Cfrac%7B106.76%7D%7B12%7D%20%3D%208.90%20feet%2Fsec)
Faster Maya travels = 8.90-4.71 = 4.19
So , Maya travels
faster than Kelly !