SOLUTION: A train running at 60 kmph takes 30 seconds to pass a platform. It takes 18 seconds to pass a person walking at 7 kmph in the same direction in which the train is running. What is

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Question 690468: A train running at 60 kmph takes 30 seconds to pass a platform. It takes 18 seconds to pass a person walking at 7 kmph in the same direction in which the train is running. What is the length of the railway platform and also the length of the train.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A train running at 60 kmph takes 30 seconds to pass a platform.
It takes 18 seconds to pass a person walking at 7 kmph in the same direction in which the train is running.
What is the length of the railway platform and also the length of the train.
:
The effective speed between the train and the walker: 60-7 = 53 km/hr
How long a train takes 18 sec to pass a point at 53 km/hr? (In meters)
d = 18%2F3600 * 53 * 1000
d = 265 meters is the length of the train
:
Find the speed of the train in meter/sec
%2860%2A1000%29%2F3600 = 16.67 m/sec
:
Find the length of the platform (p) in meters
Write a time equation, dist/speed = time
%28p%2B265%29%2F16.67 = 30
p + 265 = 16.67(30)
p + 265 = 500
p = 500 - 265
p = 235 meters is the length of the platform