Question

Two students are having a race. Student A runs at a constant rate of 3 feet per second. Student B gets a head start of 8 feet and runs at a constant rate of 2 feet per second.

Write an equation for each student to represent their total distance, y, after x seconds.

How far has each student ran after 15 seconds? Explain how you determined your answer.

Answer 1

Student A: 45 feet

Student B: 38

I hope this helps!

Explanation:

Student A: 3x = y

3(15) = y

= 45 feet

Student B: 8 + (2x) = y

8 + (2 x 15) = y

8 + 30 = y

= 38 feet