Question 507601
How much of a head start do you get?
{{{ d[1] = 40*2 }}}
{{{ d[1] = 80 }}} mi
The distance between you is now {{{ 380 - 80 = 300 }}} mi
Start a stopwatch when your friend leaves- you both 
will now travel for the same amount of time until you meet
Write both equations of motion:
For you:
(1) {{{ d = 40*t }}}
For friend:
(2) {{{ 300 - d = 60t }}}
Substitute (1) into (2)
(2) {{{ 300 - 40t = 60t }}}
(2) {{{ 100t = 300 }}}
(2) {{{ t = 3 }}}
You will meet a 5 o'clock ( 2 o'clock + 3 hrs )
check answer:
for you:
(1) {{{ d = 40*t }}}
(1) {{{ d = 40*3 }}}
(1) {{{ d = 120 }}}
For friend:
(2) {{{ 300 - d = 60t }}}
(2) {{{ 300 - 120 = 60t }}}
(2) {{{ 60t = 180 }}}
(2) {{{ t = 3 }}}
OK