Anya can run 2m/s faster than her brother can. she can run one lap of the track in 125 seconds, which is...?

Question

25 seconds less than her brother. What is the lenght of the track?

Answer 1

let a be the speed of anya. Then a - 2 is the speed oher brother. She can finish the one lap in 125s, then her brother can finish one lap in 125 + 25 = 150s

distance = speed * time

Anya:
d = a * 125

her brother
d = (a - 2) * 150

they both run a same distance

125a = (a - 2) * 150
125a = 150a - 300
-25a = -300
a = 12 m/s

so the speed of Anya is 12m/s

to find the distance plug in 12 for a

d = 125a
d = 125(12)
d = 1,500 m

Answer 2

x anya's rate
x-2 = brother's rate
125x =150(x-2)
125x = 150x -300
-25x = - 300
x= 12
d = 12*125 = 1500 m