Question 716015
You can think of one of them standing still
and the other moving at the sum of their speeds
until they meet
Let {{{ k }}} = Khang's speed min mi/hr
{{{ .9k }}} = Hector's speed in mi/hr
{{{ 22.8 = ( k + .9k )*2 }}}
{{{ 1.9k = 22.8 / 2 }}}
{{{ k = 11.4 / 1.9 }}}
{{{ k = 6 }}} mi/hr
{{{ .9k = .9*6 }}}
{{{ .9k = 5.4 }}}
Hector's speed is 5.4 km/hr
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check answer:
Khang's equation:
{{{ d[1] = 6*2 }}}
{{{ d[1] = 12 }}} mi
Hector's equation:
{{{ d[2] = 5.4*2 }}}
{{{ d[2] = 10.8 }}}
and
{{{ d[1] + d[2] = 12 + 10.8 }}}
{{{ d[1] + d[2] = 22.8 }}} mi
OK