Question 551953
The buses must be driving toward each other, since
the distance between them is getting smaller.
Think of one bus a standing still and the other bus
moving at the sum of their speeds.
Let {{{ s }}} mi/hr = the speed of the slower bus.
{{{ s + 10 }}} mi/hr = the speed of the faster bus
----------------------------------------
In {{{ 2 }}} hrs, they travel {{{ 360 - 120 = 240 }}} mi
given:
{{{ 240 = ( s + s + 10 )*2 }}}
{{{ 240 = ( 2s + 10 )*2 }}}
{{{ 240 = 4s + 20 }}}
{{{ 4s = 240 - 20 }}}
{{{ 4s = 220 }}}
{{{ s = 55 }}}
{{{ s + 10 = 65 }}}
The speeds of the buses are 55 mi/hr and 65 mi/hr