Question 1094619
Let {{{ d }}} = distance in miles from
school to library
Let {{{ t }}} = time in hrs that Kate took
to get top the library
-----------------------------------
Kate's equation:
(1) {{{ d = 9t }}}
Ellen's equation:
(2) {{{ d = 12*( t - .25 ) }}}
------------------------
Set (1) = (2)
{{{ 9t = 12*( t - .25 ) }}}
{{{ 9t = 12t - 3 }}}
{{{ 3t = 3 }}}
{{{ t = 1 }}}
and
{{{ t - .25 = .75 }}}
-------------------------
Kate got to the library at 3 PM plus 1 hr = 4 PM
-------------------------
check:
(1) {{{ d = 9t }}}
(1) {{{ d = 9 }}}
and
(2) {{{ d = 12*( t - .25 ) }}}
(2) {{{ d = 12*.75 }}}
(2) {{{ d = 9 }}}
OK