SOLUTION: A passenger train's speed is 60 mi/h, and a freight train's speed is 40 mi/h. The passenger train travels the same distance in 1.5 h less time than te freight train. How long doe
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Question 68874: A passenger train's speed is 60 mi/h, and a freight train's speed is 40 mi/h. The passenger train travels the same distance in 1.5 h less time than te freight train. How long does each train take to make the trip? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A passenger train's speed is 60 mi/h, and a freight train's speed is 40 mi/h. The passenger train travels the same distance in 1.5 h less time than te freight train. How long does each train take to make the trip?
:
The trains travel the same distance so we can make a distance equation from that:
let t = time for the pass train
:
let (t+1.5) = time for the freight
:
d = speed * time:
:
Pass dist = Freight dist
60t = 40(t+1.5)
60t = 40t + 60
60t - 40t = 60
20t = 60
t = 60/20
t = 3 hrs for the passenger train; 3 + 1.5 = 4.5 hrs for freight
:
Check by finding the distance traveled of each train:
3(60) = 4.5(40)
180 = 180
