Question 1122912
Let {{{ d }}} = Damarcus’s distance from town
Let {{{ s }}} = Damarcus’s speed
————————
Fabian’s equation:
(1) {{{ 23 - d = ( s + 6 )*(1/2) }}}
Damarcus’s equation:
(2) {{{ d = s*( 3/4 ) }}}
———————————-
Plug (2) into (1)
(1) {{{ 23 - s*(3/4) = ( s + 6 )*(1/2) }}}
Multiply both sides by {{{4}}}
(1) {{{ 92 - 3s = 2s + 12 }}}
(1) {{{ 5s = 80 }}}
(1) {{{ s = 16 }}}
And
{{{ s + 6 = 22 }}}
—————————-
Demarcus’s Speed is 16 mi/hr
Fabian’s speed is 22 mi/hr
—————-
Check:
(2) {{{ d = 16*(3/4) }}}
(2) {{{ d = 12 }}} mi
Now check (1) by finding {{{ d }}}