Question 534314
Let {{{ d }}] = distance from store to house in miles
Let {{{ t }}} = time to go from house to store in hrs
{{{ 1 - t }}} = time to go from store to house in hrs
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House to store:
(1) {{{ d = 10t }}}
Store to house:
(2) {{{ d = 5*( 1 - t ) }}}
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Substitute (1) into (2)
(2) {{{ 10t = 5*( 1 - t ) }}}
(2) {{{ 10t = 5 - 5t }}}
(2) {{{ 15t = 5 }}}
(2) {{{ t = 5/15 }}}
(2) {{{ t = 1/3 }}} hr
and, from (1):
(1) {{{ d = 10t }}}
(1) {{{ d = 10/3 }}}
The distance from store to house is 3.333 mi
check:
(2) {{{ d = 5*( 1 - t ) }}}
(2) {{{ 10/3 = 5*(2/3) }}}
(2) {{{ 10/3 = 10/3 }}}
and
(1) {{{ d = 10t }}}
(1) {{{ 10/3 = 10*(1/3) }}}
(1) {{{ 10/3 = 10/3 }}}
OK