SOLUTION: How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are 60 and 45 mph and the freight train had an hour and a half head start?

Question 450539: How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are 60 and 45 mph and the freight train had an hour and a half head start?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Freight train 45 mph
Amtrak 60 mph
Difference in time=01:30
Freight train will have covered 67.5 miles before Amtrak starts
catch up distance=67.5 miles
catch up speed =60-45 mph
catch up speed =15 mph
Catchup time = catchup distance/catch up speed
catch up time= 67.5 /15
catch up time= 4.5 hours

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