Question 1004298
Let {{{d[1] }}} = distance that Roberto walks until they
meet when walking in the same direction
{{{ d[1] - 2.2 }}} = the distance that Juanita walks
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Roberto's equation:
(1) {{{ d[1] = s[1]*11 }}}
Juanita's equation:
(2) {{{ d[1] - 2.2 = s[2]*11 }}}
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Now let {{{ d[2] }}} = distance roberto walks until they
meet when walking towards eachother
{{{ 2.2 - d[2] }}} = the distance Juanita walks
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Roberto's equation:
(3) {{{ d[2] = s[1]*1 }}}
Juanita's equation:
(4) {{{ 2.2 - d[2] = s[2]*1 }}}
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Substitute (1) into (2)
(2) {{{ 11*s[1] - 2.2 = 11*s[2] }}}
(2) {{{ 11*( s[1] - s[2] ) = 2.2 }}}
(2) {{{ s[1] - s[2] = .2 }}}
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Substitute (3) into (4)
(4) {{{ 2.2 -s[1] = s[2]*1 }}}
(4) {{{ s[1] + s[2] = 2.2 }}}
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Add (2) and (4)
(4) {{{ s[1] + s[2] = 2.2 }}}
(2) {{{ s[1] - s[2] = .2 }}}
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{{{ 2*s[1] = 2.4 }}}
{{{ s[1] = 1.2 }}}
and
(4) {{{ s[1] + s[2] = 2.2 }}}
(4) {{{ s[2] +1.2 = 2.2 }}}
(4) {{{ s[2] = 1 }}}
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Roberto's speed is 1.2 mi/hr
Juanita's speed is 1 mi/hr
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check:
(1) {{{ d[1] = s[1]*11 }}}
(1) {{{ d[1] = 1.2*11 }}}
(1) {{{ d[1] = 13.2 }}}
and
(2) {{{ d[1] - 2.2 = s[2]*11 }}}
(2) {{{ 13.2 - 2.2 = s[2]*11 }}}
(2) {{{ 11*s[2] = 11 }}}
(2) {{{ s[2] = 1 }}}
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(3) {{{ d[2] = s[1]*1 }}}
(3) {{{ d[2] = 1.2*1 }}}
(3) {{{ d[2] = 1.2 }}}
and
(4) {{{ 2.2 - d[2] = s[2]*1 }}}
(4) {{{ 2.2 - 1.2 = s[2]*1 }}} 
(4) {{{ s[2] = 1 }}}
OK