Question 737518
Let {{{ d }}} = the one-way distance the plane flies
Let {{{ t }}} = the time in hours for the 1st trip
{{{ 7 - t }}} = the time for the return trip
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1st trip:
{{{ d = 132t }}}
Return trip:
{{{ d = 231*( 7-t ) }}}
By substitution:
{{{ 132t = 231*( 7-t ) }}}
{{{ 132t = 1617 - 231t }}}
{{{ 363t = 1617 }}}
{{{ t = 1617 / 363 }}}
and
{{{ d = 132t }}}
{{{ d = 132*( 1617 / 363 ) }}}
{{{ d = 588 }}}
The distance from Seattle to wilderness is 588 mi
check:
{{{ d = 231*( 7-t ) }}}
{{{ 588 = 231*( 7-t ) }}}
{{{ 2.54545 = 7 - 4.45454 }}}
{{{ 2.54545 = 2.54545 }}}
OK