Question 1046151
Let {{{ d }}} = the one-way distance to work
Let {{{ t }}} = time in hrs to get to work
{{{ .5 - t }}} = time in hrs to get home from work
( note that I converted min to hrs )
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Driving to work:
(1) {{{ d = 30t }}}
Driving home:
(2) {{{ d = 35*( .5 - t ) }}}
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Plug (1) into (2)
(2) {{{ 30t = 17.5 - 35t }}}
(2) {{{ 65t = 17.5 }}}
(2) {{{ t = .26923 }}} hrs
and
(1) {{{ d = 30t }}}
(1) {{{ d = 30*.26923 }}}
(1) {{{ d = 8.077 }}} mi
Work is 8.08 mi away
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check answer:
(2) {{{ d = 35*( .5 - t ) }}}
(2) {{{ 8.077 = 35*( .5 - .26923 ) }}}
(2) {{{ 8.077 = 17.5 - 9.4231 }}}
(2) {{{ 8.077 = 8.0769 }}}
close enough