Question

1. the figure below represents the distances traveled by car a and car b. which are is going faster and by how much?

Explanation:

Step1: Calculate the speed of Car A

Speed = Distance / Time. For Car A, when time \(t = 6\) hours, distance \(d=300\) miles. So speed of Car A \(v_A=\frac{300}{6}=50\) miles per hour.

Step2: Calculate the speed of Car B

For Car B, when time \(t = 6\) hours, distance \(d = 240\) miles. So speed of Car B \(v_B=\frac{240}{6}=40\) miles per hour.

Step3: Find the difference in speeds

\(\Delta v=v_A - v_B\). Substitute \(v_A = 50\) and \(v_B=40\). \(\Delta v=50 - 40=10\) miles per hour.

Answer:

Car A is going faster. Car A is \(10\) miles per hour faster than Car B.