Question 402938
your equation is very close
the sum of the rates times the times is 160 ; but the times are not the same
the 45 mph person has a 15 min (.25 hr) head start


160 = 45(x + .25) + 40(x)


x is the travel time for the 40 mph person
from that you can find the time (of day) that they pass each other