Starting from 150 ft 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 = l150-20tl. At what times is she 50 ft from you?
To find the times when your friend is 50 ft from you, we can set the distance function d = 50 and solve for t.
Given: d = 150 - 20t
Setting d = 50, we have:
50 = 150 - 20t
Rearranging the equation:
20t = 150 - 50
20t = 100
Dividing by 20:
t = 100/20
t = 5
Therefore, your friend is 50 ft from you at t = 5 seconds.