Question

You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at the starting line at the same time. How far have each of you run when you first meet again at the starting line?

Answer 1

You have run 4 laps your friend has run 5 laps

Explanation:

you can make an equation-- 8x=10y you are x and your friend is y.

In the equation you need to isolate y so the equation can be y=8x/10

then simplafie the equation to y=4x/5

this is a ratio wherre every 4 laps you run your friend runs 5

Answer 2

Explanation:

first runs n+1 laps

and second runs n laps in the same time.

so (n+1)8=10n

10n=8n+8

10n-8n=8

2n=8

n=8/2=4

one lap=1 mile

4 laps=4 miles

4+1=5 laps=5 miles.

first runs 5 miles whereas second runs=4 miles.