Question 975101
Let {{{ d }}} = her one-way distance walking
Let {{{ t }}} = her time in minutes walking from her house
{{{ 10 - t }}} = her time in minutes walking back to house
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(1) {{{ d = 120t }}}
(2) {{{ d = 360*( 10 - t ) }}}
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Substitute (1) into (2)
(2) {{{ 120t = 360*( 10 - t ) }}}
(2) {{{ 120t = 3600 - 360t }}}
(2) {{{ 480t = 3600 }}}
(2) {{{ t = 7.5 }}}
and
(1) {{{ d = 120*7.5 }}}
(1) {{{ d = 900 }}}
She walked 900 ft before turning around
check:
(2) {{{ d = 360*( 10 - t ) }}}
(2) {{{ 900 = 360*( 10 - 7.5 ) }}}
(2) {{{ 900 = 3600 - 2700 }}}
(2) {{{ 900 = 900 }}}
OK