Question 33543
{{{ rt=d }}}
In this case, the distance for both is the same, so for our convenience the train's variables are in caps.
{{{ RT = rt }}}
r=50
t= T-1 (it started an hour later)
R=40
T= this is what we will solve for
{{{ (40)T = (50)(T-1) }}}
Solve for T
{{{ 40T = 50T-50 }}}
Subtract 50T
{{{ -10T=-50 }}}
divide by -10
{{{ T=5 }}}
So if the Train takes 5 hours, the bus takes 4.


CHECK
{{{ RT = rt }}}
{{{ 40(5) = 50(4) }}}
{{{ 200 = 200 }}}
and this IS the distance.

This is a duplicate of problem 33542