
Brenda L. answered 11/06/17
Tutor
5
(32)
Calculus, Diffy Q, Pre-Calc, Algebra, Physics
First, we need to figure out how far Jane traveled during the two hours that Jake was not travelling:
39mph * 2hr = 78mi
As such, the equation modelling her travel is y = 39x + 78.
The equation for Jake's travel is y = 52x.
We set the two equations equal to each other, and solve for x:
39x + 78 = 52x
78 = 13x
x = 6
It takes Jake 6 hours to catch Jane.