Question 950718
Find the head start of the car in miles
{{{ d[1] = r*t }}}
{{{ d[1] = 30*3 }}}
{{{ d[1] = 90 }}} mi
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Start a stopwatch when the motorcycle leaves
Let {{{ t }|}} = time in hrs on stopwatch when 
they meet
Let {{{ d }}} = distance in miles the motorcycle
travels until they meet
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The car's equation:
(1) {{{ d - 90 = 30t }}}
The motorcycle's equation:
(2) {{{ d = 70t }}}
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Substitute (2) into (1)
(1) {{{ 70t - 90 = 30t }}}
(1) {{{ 40t = 90 }}}
(1) {{{ t = 2.25 }}} hrs
The motorcycle took 2 hrs and 15 min to
meet the car
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check:
(2) {{{ d = 70t }}}
(2) {{{ d = 70*2.25 }}}
(2) {{{ d = 157.5 }}}
and
(1) {{{ d - 90 = 30*2.25 }}}
(1) {{{ d = 90 + 67.5 }}}
(1) {{{ d = 157.5 }}}
OK