Question 1092563
Let {{{ t }}} = time in hrs for LA to Ventura trip
{{{ 3.25 - t }}} = time in hrs for return trip
Let {{{ d }}} = one-way distance in miles
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LA to Ventura:
(1) {{{ d = 45t }}}
Ventura to LA:
(2) {{{ d = 30*( 3.25 - t ) }}}
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Plug (1) into (2)
(2) {{{ 45t = 30*( 3.25 - t ) }}}
(2) {{{ 45t = 97.5 - 30t }}}
(2) {{{ 75t = 97.5 }}}
(2) {{{ t = 1.3 }}} hrs
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(1) {{{ d = 45*1.3 }}}
(1) {{{ d = 58.5 }}} mi
Her one-way trip was 58.5 mi
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check answer:
(2) {{{ d = 30*( 3.25 - 1.3 ) }}}
(2) {{{ d = 97.5 - 39 }}}
(2) {{{ d = 58.5 }}} mi
OK