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Question

Trains P and Q are running in the same direction on parallel tracks with speeds of x km/h and 90 km/h (90 > x), respectively. The faster train passes a man sitting in the slower train in 30 seconds. If the length of train Q is 225 m, then what is the value of x ?

This question was previously asked in
SSC Selection Post 2021 Question Paper (09-Feb-2022) (Shift-1)
The correct answer is

63

The correct answer is 63.

If train A meets/passes a pole or a man, the distance covered is L_A. Conversion: To convert km/h to m/s, multiply by \frac{5}{18}. To convert m/s to km/h, multiply by \frac{18}{5}. This factor comes from 1 \text{ km/h} = \frac{1000 \text{ m}}{3600 \text{ s}} = \frac{10}{36} \text{ m/s} = \frac{5}{18} \text{ m/s}.

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Similar Questions

  1. A train runs at 54 kmph. If it takes 15 seconds to cross a pole, then what is the length of the train in meters?

  2. A train covers the distance between two stations in 220 minutes. If the distance between the two stations is 484 km, what is the speed of the train in km/h?

  3. A train of length 218 m is running at 60 km/h. In what time (in seconds) will it cross a platform of length 282 m?

  4. A train takes 1 hour 20 minutes to travel between two stations P and Q. If it travels at \(\frac{2}{7}\) of its usual speed, how long will it take to travel between P and Q?

  5. The lengths of two trains are 380 m and 220 m. The faster of these two trains takes 20 seconds to overtake the other, when travelling in same direction. The trains take 12 seconds to cross each other, when travelling in opposite directions. What is the speed (in km/h) of the faster train?

  6. A train passes two bridges 400 m and 295 m long in 75 seconds and 60 seconds. respectively. How much time (in seconds) will the train take to cross another train of length 325 m running on parallel tracks at the speed of 97.2 km/h in the same direction?

  7. A train takes 14 seconds to cross a pole while it takes 50 seconds to cross a stationary train 500 m long. Find the speed of the train which is correct to two decimal places.

  8. Two trains start at the same time from two stations and proceed towards each other at speeds 88 km/h and 75 km/h, respectively. When they meet, it is found that one train has travelled 65 km more than the other. What is the distance (in km) between the two stations?

  9. In the 1400 m race, John reaches the end point in 1 minute 6 seconds, while James reaches the end point in 77 seconds. By what distance does John beat James?
  10. A 280 m long train is running at a speed of 54 km/h. In how much time (in seconds) will it cross a man moving at 12 km/h in the same direction as that of the train?


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. A train with a uniform speed passes a 122 meters long platform in 17 seconds and a 210 meters long bridge in 25 seconds. The speed of the train is:

  4. A train passes a 360 metre long platform in 40 seconds and a man standing on the platform in 16 seconds. The speed of the train is:

  5. 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:

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