Question 1013187
Let {{{ d }}} = the one-way distance of the trail
Let {{{ t }}} = time in hours for the 1st one-way trip
{{{ 6 - t }}} = time in hours for the 2nd one-way trip
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Equation for the 1st trip:
(1) {{{ d = 4t }}}
Equation for the 2nd trip:
(2) {{{ d = 2*( 6 - t ) }}}
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Substitute (1) into (2)
(2) {{{ 4t = 2*( 6 - t ) }}}
(2) {{{ 4t = 12 - 2t }}}
(2) {{{ 6t = 12 }}}
(2) {{{ t = 2 }}}
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(1) {{{ d = 4t }}}
(1) {{{ d = 4*2 }}}
(1) {{{ d = 8 }}}
The hiked 8 miles in and 8 miles out
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check:
(2) {{{ d = 2*( 6 - t ) }}}
(2) {{{ d = 2*( 6 - 2 ) }}}
(2) {{{ d = 2*4 }}}
(2) {{{ d = 8 }}}
OK