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 = |100 - 20|. At what times is she 60 ft away from you.

Answer 1

To find the times when she is 60 ft away from you, we need to solve the equation d = 60, where d is the distance from you in feet.

Substituting d = 60 into the given equation, we have:

60 = |100 - 20|

To solve for t, we need to consider two scenarios: when 100 - 20 > 0 and when 100 - 20 < 0.

When 100 - 20 > 0, the equation becomes:

60 = 100 - 20

Simplifying, we have:

20 = 100 - 60

=> 20 = 40

This is not possible, as 20 does not equal 40. Therefore, there are no solutions for this scenario.

Now, let's consider the case when 100 - 20 < 0. In this case, the equation becomes:

60 = -(100 - 20)

Simplifying, we have:

60 = -80

This is also not possible, as 60 does not equal -80. Therefore, there are no solutions for this scenario either.

Therefore, there are no times when she is exactly 60 ft away from you.