Question 509241
How much of a head start does the private plane get?
{{{ d[1] = 192*2 }}}
{{{ d[1] = 384 }}} mi
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Now start a stopwatch when the jet leaves
For the jet:
(1) {{{ d = 960t }}}
For the private plane:
(2) {{{ d - 384 = 192t }}}
( Note that {{{t}}} is the same for both, 
since they are both on the stopwatch now )
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Substitute (1) into (2)
{{{ 960t - 384 = 192t }}}
{{{ 768t = 384 }}}
{{{ t = .5 }}} hrs
The private plane is passed by the jet in 1/2 hr