Question 176727
Use distance = rate times time.  {{{d = rt}}}.  Here, {{{d = m}}} and {{{r[t]=s}}} is the speed of the train.  {{{r[b]= s - 5}}} is the speed of the bus.


Since {{{d=rt}}}, {{{t=d/r}}} and...


for the train:  {{{t[t] = m/s}}}


for the bus:  {{{t[b] = m/(s - 5)}}}


To find out how much longer the bus took, subtract the train's time from the bus' time:  {{{t[b] - t[t] = m/(s -5) - m/s = (ms - m(s - 5))/(s(s -5)) = 5m/(s^2 - 5s)}}}