SOLUTION: A train leaves Columbia heading due west at 80 mph at 8 am. A helicopter leaves at 9:30 going due west at 120 mph. At what time will the helicopter overtake the train?

Question 999147: A train leaves Columbia heading due west at 80 mph at 8 am. A helicopter leaves at 9:30 going
due west at 120 mph. At what time will the helicopter overtake the train?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Distance = speed * time
time is x for helicopter
it is x+1.5 for train, units in hours.
distance at overtaking is the same.
80*(x+1.5)=120(x)
80x+120=120x
120=40x
3=x
3 hours, and the time is 12:30 pm ANSWER
The helicopter will have gone 360 miles
The train will have traveled 4.5 hours@80 mph, or 360 miles.

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