Question 1046003
How far does Jet get in the 1st hour?
{{{ d[1] = 116*1 }}}
{{{ d[1] = 116 }}}
Let {{{ t }}} = time in hrs after Ahmed leaves
until they meet. Start a stopwatch when Ahmed leaves
Let {{{ d }}} = distance in km that Ahmed travels
until they meet
------------------------
Ahmed's equation:
(1) {{{ d = 84t }}}
Jet's equation:
(2) {{{ 316 - d - 116 = 116t }}}
----------------------------
Plug (1) into (2)
(2) {{{ 316 - 84t - 116 = 116t }}}
(2) {{{ 200t = 200 }}}
(2) {{{ t = 1 }}}
-----------------
5 PM + 1 = 6 PM
They will be 316 mi apart at 6 PM
---------------------------------
check:
(1) {{{ d = 84t }}}
(1) {{{ d = 84*1 }}}
(1) {{{ d = 84 }}}
and
(2) {{{ 316 - d - 116 = 116t }}}
(2) {{{ 316 - d - 116 = 116*1 }}}
(2) {{{ 200 - d = 116 }}}
(2) {{{ d = 84 }}}
OK