SOLUTION: Please help!! Every hour, on the hour,a train leaves Tallahassee for Jacksonville, whle another train leaves Jacksonville for Tallahassee. the trip between the two cities takes e

Question 99039: Please help!! Every hour, on the hour,a train leaves Tallahassee for Jacksonville, whle another train leaves Jacksonville for Tallahassee. the trip between the two cities takes exactly two hours. How many trains going in the opposite direction will a Tallahassee train to Jacksonville meet? I have it will meet 2 trains. Is this correct? Thanks.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
if a train is leaving a station at the same time that another train is arriving at the station, do they meet?

ignoring the stations ... when a train leaves T, an approaching train is half way between J and T

these trains will meet 1/4 of the way from T to J

at halfway, the train from T will meet the train from J that left at the same time as the train from T

at 3/4 of the way, the train from T will meet the train from J that left when the train from T was halfway

so the train from T will meet 3 trains from J
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