Question 969617
Let {{{ t }}} = time in hrs spent walking
{{{ .9 - t }}} = time spent jogging
Let {{{ d }}} = distance in miles walking
{{{ 3.5 - d }}} = distance in miles jogging
-----------------------------------
Equation for walking:
(1) {{{ d = 3t }}}
Equation for jogging:
(2) {{{ 3.5 - d = 5*( .9 - t ) }}}
---------------------------
(2) {{{ 3.5 - d = 4.5 - 5t }}}
(2) {{{ 5t - d = 1 }}}
Substitute (1) into (2)
(2) {{{ 5t - 3t = 1 }}}
(2) {{{ 2t = 1 }}}
(2) {{{ t = .5 }}} hrs
{{{ .9 - t = .4 }}} hrs
--------------------
He walks for .5 hrs
He jogs for .4 hrs
--------------------
Check:
(1) {{{ d = 3t }}}
(1) {{{ d = 3*.5 }}}
(1) {{{ d = 1.5 }}} mi
and
(2) {{{ 3.5 - d = 5*( .9 - t ) }}}
(2) {{{ 3.5 - d = 5*.4 }}}
(2) {{{ d = 3.5 - 2 }}}
(2) {{{ d = 1.5 }}} mi
OK