A man on a railroad platform observed that a train passed by the point where he was standing in 10 seconds, and that the same train passed completely through a station, which is 308 meters long, in 24 seconds. How long was the train and how fast was it going? Thanks for help.
Let L be the length of the train [ in meters ]
Then......in the first situation......it's rate can be modeled by : Distance traveled / time =
rate = L /10
In the second situation.....if we consider the back of the train, it travels [ L + 308] m in 24 seconds = rate
So.......equating rates, we have that
L / 10 = [ L + 308] / 24 cross multiply
24 L = 10 [ L + 308} simplify
24 L = 10L + 3080
14L = 3080
L = 220 m
And we can use L/ 10 to find its rate = 220 m / 10 s = 22 m/s
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