Question

A motorcycle 500 feet from your current position is driving toward you at a constant rate of 50 feet per second. The distanced (in feet) of the motorcycle from you

you after t seconds is given by the equation |500 - 50t| - d = 0. At what times is the car 75 feet from you?

Answer 1

Explanation:

Step 1: Substitute d for 75

|500-50t| - 75 = 0

Step 2: Move the constant to one side

|500-50t| = 75

Step 3: Separate the equation into two possible cases

500−50t=75

500−50t=−75​

Step 4: Solve the equation for t

t = 17/2 = 8.5

t = 23/2 = 11.5

Solution:

D: 8.5 seconds and 11.5 seconds