Question 517059
What is the motorboat's head start in miles?
{{{ d[1] = 9*2 }}}
{{{ d[1]= 18 }}} mi
Start a stopwatch when the cabin cruiser leaves
Both will travel for the same amount of time
For cabin cruiser:
(1) {{{ d = 18t }}}
For motorboat:
(2) {{{ d - 18 = 9t }}}
Substitute (1) into (2)
(2) {{{ 18t - 18 = 9t }}}
(2) {{{ 9t = 18 }}}
(2) {{{ t = 2 }}} hrs
This is the time elapsed from when the cabin cruiser left,
which was {{{ 7 + 2 }}} = 9 AM, so
The Cabin Cruiser overtakes the motorboat at {{{ 9 + 2 }}} = 11 AM