Question 800751
Let the one-way distance between
the harbor and the island = {{{ d }}}
Let {{{ t }}} = the time to go from
the harbor to the island
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Equation for harbor to island:
(1) {{{ d = 24t }}}
Equation for island to harbor
(2) {{{ d = 16*( 5 - t ) }}}
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By substitution:
{{{ 24t = 16*( 5 - t ) }}}
{{{ 24t = 80 - 16t }}}
{{{ 40t = 80 }}}
{{{ t = 2 }}}
and
(1) {{{ d = 24t }}}
(1) {{{ d = 24*2 }}}
(1) {{{ d = 48 }}}
The distance between them is 48 miles
check:
(2) {{{ d = 16*( 5 - t ) }}}
(2) {{{ d = 16*( 5 - 2 ) }}}
(2) {{{ d = 48 }}}
OK