How Did Jason Catch Up to Marie by 5pm?

[mvgio124]

(4)

At noon Marie leaves Goleta driving north at
constant speed. At 1pm Jason is 14 miles south of Goleta
and starts to follow Marie, he also drives at (a different) constant
speed. At 5pm Jason catches up with Marie. At 2pm Marie
has driven 16 more miles since she started than Jason has
driven since he started. What were their speeds in mph.

 

[Robert1986]

(4)

At noon Marie leaves Goleta driving north at
constant speed. At 1pm Jason is 14 miles south of Goleta
and starts to follow Marie, he also drives at (a different) constant
speed. At 5pm Jason catches up with Marie. At 2pm Marie
has driven 16 more miles since she started than Jason has
driven since he started. What were their speeds in mph.

What have you done?

Start by writting an equation for the position of Marie and an equation for the position of Jason. BOth of these are going to involve the speeds of Marie and Jason, respectively, and both are going to be functions of time.