Question 677140
Just call 45 min 3/4 hr
You need 2 equations, one for home to Metro
and one for Metro to work
Let {{{ d }}} = the  distance from Metro to work
{{{ 70 - d }}} = the distance from home to Metro
Let {{{ t }}} = time spent on Metro
{{{ t + 3/4 }}} = time spent on bike ( home to metro )
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Equation for home to Metro:
(1) {{{ 70 - d = 6*( t + 3/4 ) }}}
Equation for Metro to work:
(2) {{{ d = 59t }}}
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(1) {{{ 70 - d = 6t + 9/2 }}}
Substitute (2) into (1)
(1) {{{ 70 - 59t = 6t + 9/2 }}}
(1) {{{ 59t + 6t = 70 - 9/2 }}}
(1) {{{ 65t = 65.5 }}}
(1) {{{ t = 1.00769 }}} hrs
and
(2) {{{ d = 59t }}}
(2) {{{ d = 59*(65.5/65) }}}
(2) {{{ d = 3835 / 65.5 }}}
(2) {{{ d = 59.454 }}}
From work to Metro is 59.454 mi
check answer:
(2) {{{ d = 59t }}}
(2) {{{ 59.454 = 59t }}}
(2) {{{ t = 59.454 / 59 }}}
(2) {{{ t = 1.0077 }}}
and
(1) {{{ 70 - d = 6*( t + 3/4 ) }}}
(1) {{{ 70 - d = 6*( 1.0077 + .75 ) }}}
(1) {{{ 70 - d = 6*1.7577 }}}
(1) {{{ d = 70 - 10.546 }}}
(1) {{{ d = 59.454 }}}
OK
Hope I got it