Trains and rollercoasters

Question

The train and roller coaster Arrive back at their station at the same time. The train has a .15 mile head start. The train is traveling at a rate of .65 mi./min. The roller coaster is traveling at a rate of .78 mi./min. how many minutes before they arrive back at the station?

Answer 1

t=.15m+.65m/m=.78m/m

d/s=t

.15/.65=.23

st=d

.23+t*.65=t*.78

.23=.13t

t=1.7692............