Starting from 100 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.= l100-20tl At what times is she 40 ft from you?

Question

Starting from 100 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.= l100-20tl At what times is she 40 ft from​ you?

GPT 3.5 · Answer

To find the times when your friend is 40 ft from you, we substitute d = 40 into the given equation:

40 = 100 - 20t

Rearranging the equation to solve for t:

20t = 100 - 40
20t = 60
t = 60/20
t = 3 seconds

So, your friend is 40 ft from you at 3 seconds.

Starting from 100 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.= l100-20tl At what times is she 40 ft from​ you?

Starting from 100 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.= l100-20tl At what times is she 40 ft from you?