Question 979631
Let {{{ d }}} = one-way distance into the woods in km
Let {{{ t }}} = time in hrs to hike into the woods
{{{ 3.5 - t }}} = time in hrs to hike out of the woods
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Hiking into the woods:
(1) {{{ d = 4t }}}
Hiking out of the woods:
(2) {{{ d = 3*( 3.5 - t ) }}}
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Substitute (1) into (2)
(2) {{{ 4t = 3*( 3.5 - t ) }}}
(2) {{{ 4t = 10.5 - 3t }}}
(2) {{{ 7t = 10.5 }}}
(2) {{{ t = 1.5 }}}
and
(1) {{{ d = 4t }}}
(1) {{{ d = 4*1.5 }}}
(1) {{{ d = 6 }}}
You hiked 6 km into the woods
check:
(2) {{{ d = 3*( 3.5 - t ) }}}
(2) {{{ d = 3*( 3.5 - 1.5 ) }}}
(2) {{{ d = 3*2 }}}
(2) {{{ d = 6 }}} km
OK