Billy and his younger brother Reggie are going to raise each other to the park they will start running at the same time but Billy is letting Reggie start 20 m ahead Billy can run 8 mph per second and Reggie can run six meters per second which equation can be used to find s the number of seconds it will take for ability to catch up to Reggie if they eat run as fast as they can

Question

Billy and his younger brother Reggie are going to raise each other to the park they will start running at the same time but Billy is letting Reggie start 20 m ahead Billy can run 8 mph per second and Reggie can run six meters per second which equation can be used to find s the number of seconds it will take for ability to catch up to Reggie if they eat run as fast as they can

Answer 1

Let s be the number of seconds it will take for Billy to catch up to Reggie.

Therefore, the distance Billy runs in s seconds is 8s and the distance Reggie runs in s seconds is 6s.

Since Reggie starts 20 meters ahead, the distance Billy must run to catch up to Reggie is 20 meters less than the distance Reggie runs:

8s = 6s + 20

Subtracting 6s from both sides:

2s = 20

Therefore, s = 10 seconds.

So, it will take Billy 10 seconds to catch up to Reggie.