Question

The distance in miles of a motoris from her destination is given by the function d(t)= 468-65t, where d(t) is the distane and t is the time she has been traveling in hours. How long has the motorist been traveling when she is 299 miles from her destination?

Answer 1

The motorist has been traveling for 2.6 hours or 2 hours 36 minutes

Explanation:

Here, we want to calculate how long a motorist who has traveled 299 miles have drove

To get this, we use the given equation

This is;

d(t) = 468 - 65t

In the question, d(t) in this case is 299 miles

299 = 468 - 65t

65t = 468 - 299

65t = 169

t = 169/65

t = 2.6 hours

since 1 hour = 60 minutes;

2.6 hours = 2 + 0.6 hours

0.6 hours = 0.6 * 60 = 36 minutes

So the motorist had driven for 2 hours 36 minutes