Question 1026157
Let {{{ d }}} = distance in miles Jaime travels in 1.5 hrs
{{{ 159 - d }}} = distance Alex travels in 1.5 hrs
Let {{{ s }}} = Jaime's speed in mi/hr
{{{ s + 14 }}} = Alex's speed in mi/hr
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Jaime's equation:
(1) {{{ d = s*1.5 }}}
Alex's equation:
(2) {{{ 159 - d = ( s + 14 )*1.5 }}}
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Substitute (1) into (2)
(2) {{{ 159 - 1.5s = ( s + 14 )*1.5 }}}
(2) {{{ 159 - 1.5s = 1.5s + 21 }}}
(2) {{{ 3s = 159 - 21 }}}
(2) {{{ 3s = 138 }}}
(2) {{{ s = 46 }}}
and
{{{ s + 14 = 46 + 14 }}}
{{{ s + 14 = 60 }}}
Jaime's speed was 46 mi/hr
Alex's speed was 60 mi/hr
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check:
(1) {{{ d = s*1.5 }}}
(1) {{{ d = 46*1.5 }}}
(1) {{{ d = 69 }}} mi
and
(2) {{{ 159 - d = ( s + 14 )*1.5 }}}
(2) {{{ 159 - d = ( 46 + 14 )*1.5 }}}
(2) {{{ 159 - d = 60*1.5 }}}
(2) {{{ d = 159 - 90 }}}
(2) {{{ d = 69 }}} mi