A plane takes off at 6:00 am, traveling north at 270 miles per hour. A jet takes off at 7:00 am, traveling north at 460 miles per hour. At what time will the jet overtake the plane? (Round your answer to the nearest minute.)

The jet will overtake the plane at 8:25 am.

Step-by-step explanation:

The distance traveled by the plane after time since it took off is modeled by the equation

And the distance traveled by the jet after time since the plane took off is given modeled by the equation

   (we set this up such that at )

Now, the jet will overtake the plane when :

Which is 2 hours and 25 minutes after 6:00 am, or at 8: 25 am; therefore, the jet will overtake the plane at 8:25 am.