Question 978858
Think of this as one cyclist standing still and
the other one biking at the sum of their speeds
until they are {{{ 126 }}} mi apart
Let {{{ s }}} = the speed of the slower cyclist in mi/hr
{{{ s + 12 }}} = the speed of the faster cyclist in mi/hr
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{{{ 126 = ( s + s + 12 )*3 }}}
{{{ 126 = ( 2s + 12 )*3 }}}
{{{ 126 = 6s + 36 }}}
{{{ 6s = 90 }}}
{{{ s = 15 }}}
and
{{{ s + 12 = 27 }}}
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The east bound cyclist is going 15 mi/hr
The west bound cyclist is going 27 mi/hr
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check:
e.b. cyclist:
{{{ d[1] = 15*3 }}}
{{{ d[1] = 45 }}}
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w.b. cyclist:
{{{ d[2] = 27*3 }}}
{{{ d[2] = 81 }}}
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{{{ d[1] + d[2] = 45 + 81 }}}
{{{ d[1] + d[2] = 126 }}}
OK