Jordan K. answered 10/08/15
Tutor
4.9
(79)
Nationally Certified Math Teacher (grades 6 through 12)
Hi There,
Let's begin by knowing that at the time Emily catches up with Jon - they would each have traveled the same distance. Therefore, we can write this equation to solve for that time (t):
Emily's distance = Jon's distance
55t = 45(t + 0.5)
55t = 45t + 22.5
55t - 45t = 22.5
10t = 22.5
t = 22.5/10
t = 2.25 hours
Thanks for submitting this problem and glad to help.
God bless, Jordan.