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?

Step-by-step 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.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point