Question

DaMarcus and Fabian live 23 miles apart and play soccer at a park between their homes. DaMarcus rode his bike for 3/4 of an hour and Fabian rode his bike for 1/2 of an hour to get to the park. Fabian’s speed was 6 miles per hour faster than DaMarcus’s speed. Find the speed of both soccer players.

Answer 1

To find the speed of both soccer players, use the equation Speed = Distance / Time. Set up equations based on the given information and simplify to find DaMarcus's and Fabian's speeds.

Step-by-step explanation:

To find the speed of both soccer players, let's use the equation:

Speed = Distance / Time

Given that DaMarcus rode his bike for 3/4 of an hour, we'll represent his time as 3/4. Fabian rode his bike for 1/2 of an hour, so his time will be 1/2.

We also know that Fabian's speed was 6 miles per hour faster than DaMarcus's speed. So let's say DaMarcus's speed is x, then Fabian's speed will be x + 6.

We can set up the following equations:

x = 23 / (3/4)

x + 6 = 23 / (1/2)

Simplifying these equations, we find that DaMarcus's speed is 23 × 4/3 miles per hour, and Fabian's speed is 23 × 2 miles per hour.