Question 561196
Think of 1 truck as standing still and the other
traveling at the sum of their speeds
Let {{{ s }}} = speed in km/hr of truck going west
{{{ s + 8 }}} = speed in km/hr of truck going east
---------------
{{{ 460 = ( s + s + 8 )*5 }}}
{{{ 460 = ( 2s + 8 )*5 }}}
{{{ 460 = 10s + 40 }}}
{{{ 10s = 420 }}}
{{{ s = 42 }}}
{{{ s + 8 = 50 }}}
The truck going west travels at 42 km/hr
The truck going east travels at 50 km/hr
check answer:
east bound truck:
{{{ d[1] = 50*5 }}}
{{{ d[1] = 250 }}}
west bound truck:
{{{ d[2] = 42*5 }}}
{{{ d[2] = 210 }}}
{{{ d[1] + d[2] = 250 + 210 }}}
{{{ d[1] + d[2] = 460 }}}
OK