Question 1107390
The trip from the basket to home:
Let {{{ d }}} = the one-way distance
(1) {{{ d = 5*t }}}
(2) {{{ d = 7*( 1.5 - t ) }}}
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Plug (1) into (2)
(2) {{{ 5t = 7*( 1.5 - t ) }}}
(2) {{{ 5t = 10.5 - 7t }}}
(2) {{{ 12t = 10.5 }}}
(2) {{{ t = 10.5/12 }}}
(2) {{{ t = 21/24 }}}
(2) {{{ t = 7/8 }}}
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(1) {{{ d = 5t }}}
(1) {{{ d = 5*( 7/8 ) }}}
(1) {{{ d = 35/8 }}}
(1) {{{ d = 4 + 3/8 }}}
and
{{{ (3/8)*12 = 36/8 }}}
{{{ 36/8 = 4.5 }}}
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The one-way trip is 4 ft 4.5 in
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check:
(2) {{{ d = 7*( 1.5 - t ) }}}
(2) {{{ 4.375 = 7*( 1.5 - .875 ) }}}
(2) {{{ 4.375 = 10.5 - 6.125 }}}
(2) {{{ 4.375 = 4.375 }}}
OK