SOLUTION: Two trains running in the same direction on the same track travel at the rates of 40 and 45 mph, respectively. If the slower train starts out an hour earlier, how long will it take

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Question 1072960: Two trains running in the same direction on the same track travel at the rates of 40 and 45 mph, respectively. If the slower train starts out an hour earlier, how long will it take the faster train to catch up with it?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Start time (t=0) when the second train leaves the station.
D%5B1%5D=R%5B1%5D%2A%28t%2B1%29
D%5B1%5D=40%28t%2B1%29
and
D%5B2%5D=R%5B2%5D%2At
D%5B2%5D=45t
So then find t when,
D%5B1%5D=D%5B2%5D
40%28t%2B1%29=45t
40t%2B40=45t
45t-40t=40
5t=40
Solve for t.