Question 960403
Let {{{ d }}} = distance in miles  from Hillside to Manor Haven
Let {{{ t }}} = time to get there driving at {{{ 40 }}} mi/hr
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Equation driving at normal rate:
(1) {{{ d = 40t }}}
Equation driving at {{{ 48 }}} mi/hr
(2) {{{ d = 48*( t - .5 ) }}}
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Substitute (1) into (2)
(2) {{{ 40t = 48*( t - .5 ) }}}
(2) {{{ 40t = 48t - 24 }}}
(2) {{{ 8t = 24 }}}
(2) {{{ t = 3 }}}
and
(1) {{{ d = 40*3 }}}
(1) {{{ d = 120 }}}
The distance is 120 mi
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check:
(2) {{{ d = 48*( 3 - .5 ) }}}
(2) {{{ d = 48*2.5 }}}
(2) {{{ d = 120 }}}
OK