Question 1109742
Convert minutes to hrs
{{{ 40*(1/60) = 2/3 }}} hrs
{{{ 1 + 2/3 = 5/3 }}} hrs
and
{{{ 30*(1/60) = 1/2 }}} hrs
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Let {{{ r }}} = the walking pace
{{{ 2r }}} = jogging pace
Let {{{ d }}} = distance walking in km
{{{ 6 - d }}} = distance jogging in km
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(1) {{{ d = r*(5/3) }}}
(2) {{{ 6 - d = 2r*(1/2) }}}
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(2) {{{ d = 6 - r }}}
Plug (1) into (2)
(2) {{{ 6 - r*(5/3) = r }}}
(2) {{{ 18 - 5r = 3r }}}
(2) {{{ 8r = 18 }}}
(2) {{{ r = 2.25 }}}
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Her walking pace is 2.25 km/hr
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check:
(1) {{{ d = (9/4)*(5/3) }}}
(1) {{{ d = 15/4 }}}
and
(2) {{{ 6 - 15/4 = 9/4 }}}
(2) {{{ 6 = 24/4 }}}
(2) {{{ 6 = 6 }}}
OK