Question

alan drives his shiny, new car around a racertack everyday. the race track has a diameter of 60 meters/ one day he manages to go all the way around the track in 12pi seconds. what is his average speed in meters per second?

Answer 1

circumference of the race track is required. is the race track a circle?

Answer 2

it doesn't say but I would think yes because it gives diameter

Answer 3

I also think so

so whats the circumference of a circle ?

Answer 4

2pir

Answer 5

so the meters he makes when going one round is

round = pi * 60m

Answer 6

he makes the round in 12pi seconds, so:
\[v = \frac{ \pi \times 60m }{ 12\pi s}\]

Answer 7

so do i leave it like that or simplify?

Answer 8

\[\frac{ 5m }{ s} \] ?

Answer 9

yes I would get v= 5 m/s

Answer 10

ok thanks