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Explanation
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds, the length of the platform will be determined by the formula mentioned here under as;
Total length = speed x time ________ (i)
In the first step, the speed of train can be find out as time and length both quantities are given i.e. length of train = 300 meter and time = 18 seconds
Now, placing the value of speed (which is calculated in the first step) and time (39 seconds) in equation (i); length of platform equals 350 meter.
To Find
Length of the platform = ?
Solution
length of train = 300 meter
time required to cross a signal pole = 18 seconds
speed in m/sec = 300/18
speed = 150/9 m/sec
Let suppose
length of the platform = y
so, total length = y + 300
Now, length = speed x time
y + 300 = (150 x 39)/9
y + 300 = 5850/9
y = 650 – 300
y = 350 meter answer
Conclusion
If a 300 meter long train cross a platform in 39 seconds and a signal pole in 18 seconds, then the length of the train will be 350 meter.