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Question

A train takes 61 seconds to cross a 408 m long bridge. If the same train takes 27 seconds to cross a signboard, find the length of the train.

This question was previously asked in
RPF SI 2018 Question Paper PDF (10-Jan-2019) (Shift 1)
The correct answer is

324 m

Let the length of the train be L m; to cross the signboard it covers L m, and to cross the bridge it covers (L + 408) m.

Since the speed is the same, L/27 = (L + 408)/61.

So 61L = 27L + 27 × 408, i.e. 34L = 11016.

Therefore L = 11016 ÷ 34 = 324 m.

Hence, 324 m.

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Important Questions from Problem on Trains

  1. Eight railway stations A, B, C, D, E, F, G and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.

    If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?

  2. A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?

  3. The length of a train and that of a platform are equal. If with a speed of 108 km/hr the train crosses the platform in one minute. Then the length of the train (in metres) is:

  4. A train can cross a pole and a bridge 75 meters long in 10 seconds and 25 seconds respectively. Find the length of the train.

  5. A 275 metre long train crosses a platform of equal length in 33 seconds. What is the speed of the train in kmph?

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