A passenger train's speed is 60 mph and a freight trains speed is 40 mph. The passenger train travels the same distance in 1.5 hrs less time than the freight train. How long dos it take each train to complete the trip
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Note: they both travel the same distance so you gotta get equations linking time with distance for both trains --- Vel = distance / time so time = distance / vel written t = d/v
Let t = Passenger train time
Passenger train : t = d/60 so d = 60t
Freight train : t+ 1.5 = d/40 so d = 40t + 60
so 60t = 40t + 60
so 20t = 60 so t = 3 hrs so Pass Train = 3 hrs and Freight train = 3 +1.5 hrs = 4.5 hrs
Let t = Passenger train time
Passenger train : t = d/60 so d = 60t
Freight train : t+ 1.5 = d/40 so d = 40t + 60
so 60t = 40t + 60
so 20t = 60 so t = 3 hrs so Pass Train = 3 hrs and Freight train = 3 +1.5 hrs = 4.5 hrs
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Let t = the time it took Train B to travel the distance
Speed( miles/hour) x ( t hours) =
Train A: (60mph) (t-1.5) = distance
Train B: (40mph) (t) = distance
(60)(t-1.5) = (40)(t)
60t-90 = 40t
20t = 90
t = 4.5
Therefore, it takes Train A 3 hours to complete the trip, and Train B takes 4.5 hours.
Speed( miles/hour) x ( t hours) =
Train A: (60mph) (t-1.5) = distance
Train B: (40mph) (t) = distance
(60)(t-1.5) = (40)(t)
60t-90 = 40t
20t = 90
t = 4.5
Therefore, it takes Train A 3 hours to complete the trip, and Train B takes 4.5 hours.
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let it take t min to passenger train
d = 60 t --> (1)
d = 40 (t+1.5)
d = 40t+60 --> (2)
from (1) and (2)
60t = 40t + 60 ==> t = 3
time for passenger train = 3 hours
time for freight train = 4.5 hours
d = 60 t --> (1)
d = 40 (t+1.5)
d = 40t+60 --> (2)
from (1) and (2)
60t = 40t + 60 ==> t = 3
time for passenger train = 3 hours
time for freight train = 4.5 hours
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x: hours for the train with 40 mph speed
60(x-1.5)=40.x
20x=90
x=4.5
Train with 60=3 hours
Train with 40=4.5 hours
60(x-1.5)=40.x
20x=90
x=4.5
Train with 60=3 hours
Train with 40=4.5 hours
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60 t = 40 ( t + 1.5)
20t = 60
t = 3 hrs
t = 3 + 1.5 = 4.5 hrs
20t = 60
t = 3 hrs
t = 3 + 1.5 = 4.5 hrs
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Doesn't the question require a distance?