Question 934859
I want whole numbers {{{ a }}} and {{{ b }}}
such that:
{{{ 25a = 55b }}}
This is saying:
( route time for bus a ) x ( number of time  a's route repeated ) = 
( route time for bus b ) x ( number of time b's route repeated ) 
I know that this would be true:
{{{ 25*55 = 55*25 }}}, so I can start with
{{{ a = 55 }}}
{{{ b = 25 }}}
Divide both {{{a}}} and {{{b}}} by {{{ 5 }}}  
{{{ 25*11 = 55*5 }}}
This is ( total time for route a ) = ( total time for route b ), or
{{{ 275 = 275 }}}
Add {{{ 275 }}} min to 6 AM
{{{ 275 / 60 = 4 + 35/60 }}}
and
{{{ 6 + 4 + 35/60 }}} = 10:35 AM