Question 1141934
Let {{{ s }}} = the speed of the faster bus
{{{ s - 19 }}} = the speed of the slower bus
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This is the same as if one of the buses travels at
the sum of their speeds for the entire distance, so
{{{ 580 = ( s + s - 19 )*4 }}}
{{{ 145 = 2s - 19 }}}
{{{ 2s = 164 }}}
{{{ s = 82 }}}
and
{{{ s - 19 = 63 }}}
The speed of the faster bus is 82 mi/hr
The speed of the slower bus is 63 mi/hr
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check:
{{{ d[1] = 63*4 }}}
{{{ d[1] = 252 }}}
and
{{{ d[2] = 82*4 }}}
{{{ d[2] = 328 }}}
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{{{ d[1] + d[2] = 252 + 328 }}}
{{{ d[1] + d[2] = 580 }}} mi
OK