Question 498380
You need an equation for each runner
Let {{{s}}} = speed of slower runner in mi/hr
Let {{{d}}} = the distance of the race
given:
{{{ s + 2 }}} = speed of faster runner
{{{ 1 }}} hr = faster runner's time
{{{ 4/3 }}} hr = slower runner's time
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Slower runner:
{{{ d = s*(4/3) }}}
Faster runner:
{{{ d = ( s + 2 )*1 }}}
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{{{ (4/3)*s = s + 2 }}}
Multiply both sides by {{{3}}}
{{{ 4s = 3s + 6 }}}
{{{ s = 6 }}}
{{{ s + 2 = 8 }}}
The faster runner's speed is 8 mi/hr
The slower runner's speed is 6 mi/hr