Question 1024242
What was George's head start in miles?
{{{ d[1] = 6*1 }}}
{{{ d[1] = 6 }}} mi
----------------
Start a stop watch when Paul leaves. 
Let {{{ t }}} = time in hrs on stop watch when
Paul catches George
Let {{{ d }}} = distance Paul travels until he
catches George
----------------
George's equation:
(1) {{{ d - 6 = 6t }}}
Paul's equation:
(2) {{{ d = 7t }}}
-----------------
Substitute (2) into (1)
(1) {{{ 7t - 6 = 6t }}}
(1) {{{ t = 6 }}}
Paul catches George in 6 hrs
-------------------------
check answer:
(2) {{{ d = 7t }}}
(2) {{{ d = 7*6 }}}
(2) {{{ d = 42 }}} mi
and
(1) {{{ d - 6 = 6t }}}
(1) {{{ d - 6 = 6*6 }}}
(1) {{{ d - 6 = 36 }}}
(1) {{{ d = 42 }}} mi
OK