SOLUTION: A freight train leaves a station at 4:00p.m. traveling at 30 kilometers per hour. A passenger train leaves 1 hour later, traveling at 50 kilometers per hour. At what time will the

Question 873424: A freight train leaves a station at 4:00p.m. traveling at 30 kilometers per hour. A passenger train leaves 1 hour later, traveling at 50 kilometers per hour. At what time will the passenger train overtake the freight train?
Equation & answer please. Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A freight train leaves a station at 4:00p.m. traveling at 30 kilometers per hour. A passenger train leaves 1 hour later, traveling at 50 kilometers per hour. At what time will the passenger train overtake the freight train?
Equation & answer please. Thanks!
-------------------------------------
Freight DATA:
rate = 30 kph ; time = t hrs ; distance = 30t km
------------------------
Passenger DATA:
rate = 50 kph ; time = t-1 hrs ; distance = 50(t-1) km
------------------------
Equation:
distance = distance
30t = 50(t-1)
30t = 50t-50
20t = 50
time = 2.5 hrs
Ans: 4:00PM + 2.5 hrs = 6:30PM
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Cheers,
Stan H.
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