Question 544844
The key is to find out how many equations Jamie
solves before Mackey starts solving
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Jamie's rate of solving is ( 2 equations) / ( 1 minute )
Mackey's rate of solving is ( 3 equations / 1 minute )
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Jamie's head start is:
( rate ) x ( time ) = {{{ (2/1)*120 }}} ( there are 120 minutes in 2 hrs )
{{{ (2/1)*120 = 240 }}} equations
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Let {{{x}}} = number of problems that mackey solves
until they both solve the same number of equations
Let {{{t}}} = time until they both have solved the
same number of equations
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Start a stopwatch when Mackey starts solving
Jamie's equation:
(1) {{{ x - 240 = 2t }}}
Mackey's equation:
(2) {{{ x = 3t }}}
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Substitute )2) into (1)
(1) {{{ 3t - 240 = 2t }}}
(1) {{{ t = 240 }}} minutes
{{{ 240/60 = 4 }}} hours
They will both have solved the same number of 
equations at noon + 4 hrs, or 4 PM