Question

एक रैल गाढ़ी 96 मीटर प्लेट फ़ॉर्म को 12 second मे तथा 141 मीटर लंबे प्लेट फ़ॉर्म को 15 second में पार कर जाती है. रैल गाढ़ी की लंबाई ओर चाल कितनी है

Answer 1

Given

Length of Platform=96m

Time taken =12 sec

And length of another platform=141m


Time taken=15sec

Difference between distance =141-96

=45m

Time =15-12=3sec

Speed= distance / time

=45/3

=15m/s

Now

Total distance to travel by train to cross the platform
= length of train + length of platform


Distance = speed x time

Length of train + 96= 15 x 12

Length of train =180-96


Length of train =84m


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Answer 2

Let the length of of train be = X

since speed remain the same , then according to question

⇒ (96+x)/12 = (141+x)/15

⇒ 5*(96+x) = 4*(141+x)

⇒ 480 + 5x = 564 +4x

⇒ 5x - 4x = 564 - 480

⇒ x = 84

so the length of train is 84 m.

Now the speed of the train = (96+84)/12 m/s

the speed of the train = 180/12 m/s

the speed of the train= 15 m/s

(i) the length of train is 84 m.

(ii) the speed of the train= 15m/s