Engineering Quantitative Aptitude English Reasoning General Knowledge Coding Others

Quiz: Problems on Trains

To View Tricks: Login Required

Number of Questions: 49

Question: 31 -

Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?

Options:

  1. 20

  2. 10

  3. 12

  4. 15

    5. Answer:

    12
    Solution:

    Speed of the first train = 120/10 = 12 m/sec.
    Speed of the second train = 120/5 = 8 m/sec.
    Relative speed = 12 + 8 = 20 m/sec.
    Required time = (120 + 120)/20 = 12 sec.

Question: 32 -

Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? 

Options:

  1. 72 m

  2. 80 m

  3. 82 m

  4. 50 m

    5. Answer:

    50 m
    Solution:

    Let the length of each train be x m. 
    Then, distance covered = 2x m. 
    Relative speed = 46 - 36 = 10 km/hr.
    = 10 * 5/18 = 25/9 m/sec.
    2x/36 = 25/9 => x = 50.

Question: 33 -

Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?

Options:

  1. 10

  2. 36

  3. 72

  4. 18

    5. Answer:

    36
    Solution:

    Let the speed of each train be x m/sec.
    Then, relative speed of the two trains = 2x m/sec.
    So, 2x = (120 + 120)/12 => x = 10
    Speed of each train = 10 m/sec.
    = 10 * 18/5 =- 36 km/hr.

Question: 34 -

Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? 

Options:

  1. 60 sec

  2. 48 sec

  3. 12 sec

  4. 24 sec

    5. Answer:

    48 sec
    Solution:

    Relative speed = 45 + 30 = 75 km/hr.
    75 * 5/18 = 125/6 m/sec.
    Distance covered = 500 + 500 = 1000 m.
    Required time = 1000 * 6/125 = 48 sec. 

Question: 35 -

A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? 

Options:

  1. 320 m

  2. 240 m

  3. 230 m

  4. 260 m

    5. Answer:

    230 m
    Solution:

    Relative speed = 120 + 80 = 200 km/hr.
    = 200 * 5/18 = 500/9 m/sec.
    Let the length of the other train be x m.
    Then, (x + 270)/9 = 500/9 => x = 230.