Question 607157
Let {{{ d }}} = distance from Scott's house to restaurant
{{{ 110 - d }}} = distance from Mike's house to restaurant
{{{ s }}} = speed for both Mike and Scott
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Scott's equation:
(1) {{{ d = s*1.25 }}}
Mike's equation:
(2) {{{ 110 - d = s*1.5 }}}
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Substitute (1) into (2)
(2) {{{ 110 - 1.25s = 1.5s }}}
(2) {{{ 2.75s = 110 }}}
(2) {{{ s = 40 }}} mi/hr
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Both speeds are 40 mi/hr
(1) {{{ d = s*1.25 }}}
(1) {{{ d = 40*1.25 }}}
(1) {{{ d = 50 }}}
Scott's house is 50 mi from restaurant
check:
(2) {{{ 110 - d = s*1.5 }}}
(2) {{{ 110 - d = 40*1.5 }}}
(2) {{{ 110 - d = 60 }}}
(2) {{{ d = 110 - 60 }}}
(2) {{{ d = 50 }}}
OK