Question

billy and his younger brother, reggie, are going to race each other to the park. they will start running at the same time, but billy is letting reggie start 20 meters ahead. billy can run 8 meters per second, and reggie can run 6 meters per second.
which equation can you use to find s, the number of seconds it will take for billy to catch up to reggie if they each run as fast as they can?
20s + 6 = 8s
20 + 6s = 8s
how long will it take for billy to catch up to reggie?
simplify any fractions.
seconds

Explanation:

Step1: Select correct equation

Reggie has a 20m head start, runs $6s$ meters in $s$ seconds. Billy runs $8s$ meters in $s$ seconds. The correct equation is $20 + 6s = 8s$.

Step2: Isolate $s$ variable

Subtract $6s$ from both sides:
$20 +6s -6s = 8s -6s$
$20 = 2s$

Step3: Solve for $s$

Divide both sides by 2:
$\frac{20}{2} = \frac{2s}{2}$

Answer:

10 seconds