Question 723222
Let {{{ d }}} = distance in miles to Disneyland
Let {{{ t }}} = time in hrs to get there
{{{ 7.2 - t }}} = time in hrs to get back
--------------
Equation for going:
(1) {{{ d = 50t }}}
Equation for coming back:
(2) {{{ d = 40*( 7.2 - t ) }}}
By substitution:
{{{ 50t = 40*( 7.2 - t ) }}}
{{{ 50t = 288 - 40t }}}
{{{ 90t = 288 }}}
{{{ t = 288/90 }}}
{{{ t = 3.2 }}}
-------------
(1) {{{ d = 50t }}}
(1) {{{ d = 50*3.2 }}}
(1) {{{ d = 160 }}}
and
(2) {{{ d = 40*( 7.2 - t ) }}}
(2) {{{ d = 40*( 7.2 - 3.2 ) }}}
(2) {{{ d = 40*4 }}}
(2) {{{ d = 160 }}}
The distance to Disneyland is 160 mi