SOLUTION: A freight train leaves a station and travels at 45 mi/hrs. Three hours later a passenger train leaves and travels at 75 mi/hrs. a)How long does it takes the passenger train to o

Question 850754: A freight train leaves a station and travels at 45 mi/hrs. Three hours later a passenger train leaves and travels at 75 mi/hrs.
a)How long does it takes the passenger train to overtake the freight train?
b)How far will each train travel?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
D=RT
D=45T FOR THE FREIGHT TRAIN
D=75(T-3) FOR THE PASSENGER TRAIN
45T=75(T-3)
45T=75T-225
45T-75T=224
-30T=-225
T=-225/-30
T=7.5 HOURS TO OVERTAKE THE FREIGHT TRAIN.
45^7.5=337.5 MILES FOR THE FREIGHT TRAIN
75(7.5-3)=75*4.5=337.5 MILES FOR THE PASSENGER TRAIN.

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