Question 834059


______________speed___________time quantity____________distance
train a_______56______________t+1______________________d
train b_______72______________t________________________d


The faster train travels for less time, so you see train b had traveled t hours but train a, the slower train, had to travel for t+1 hours.  The time quantity between 7AM and 8AM is 1 hour.  Both trains reach some identical travel distance, d.  The unknowns are d and t.


Rate*Time=Distance, the uniform rates equation for travel.


{{{56(t+1)=d}}} and {{{72t=d}}}.
Equate the two expressions for d and solve for t.