Starting from 150 feet away, your friend skates toward you and then passes you. She skates at a constant speed of 20 ft/s. Her distance d from you in feet after t seconds is given by d = |150-20t|. At what times is she 110 ft from you?

she is 110 ft away from you after blank s

1 answer

To find the times when she is 110 ft from you, we can set up the equation:

d = 110

Substituting in the given equation for distance:

|150 - 20t| = 110

Now, we can solve for t by splitting the equation into two cases:

Case 1: 150 - 20t = 110

150 - 20t = 110
-20t = -40
t = 2

Case 2: 150 - 20t = -110

150 - 20t = -110
-20t = -260
t = 13

Therefore, she is 110 ft away from you after 2 seconds and after 13 seconds.