Speed, Time and Distance


  1. A 120 m long train takes 10 seconds to cross a man standing on a platform. What is the speed of the train ?
    1. 12 m/sec.
    2. 10 m/sec.
    3. 15 m/sec.
    4. 20 m/sec.

  1. View Hint View Answer Discuss in Forum

    In crossing a man standing on platform, train crosses its own length.

    ∴  Speed of train =
    120
    = 12 m/s
    10

    Correct Option: A

    In crossing a man standing on platform, train crosses its own length.

    ∴  Speed of train =
    120
    = 12 m/s
    10


  1. A train is 125 m long. If the train takes 30 seconds to cross a tree by the railway line, then the speed of the train is :
    1. 14 km/hr
    2. 15 km/hr
    3. 16 km/hr
    4. 12 km/hr

  1. View Hint View Answer Discuss in Forum

    Speed =
    Distance
    Time

    =
    125
    = 4.16m/s
    30

    4.16 m/s = 4.16 ×
    18
    5

    = 15 km/hr

    Correct Option: B

    Speed =
    Distance
    Time

    =
    125
    = 4.16m/s
    30

    4.16 m/s = 4.16 ×
    18
    5

    = 15 km/hr



  1. How many seconds will a 500 metre long train take to cross a man walking with a speed of 3
    km/hr. in the direction of the moving train if the speed of the train is 63 km/hr ?
    1. 25 sec
    2. 30 sec
    3. 40 sec
    4. 45 sec

  1. View Hint View Answer Discuss in Forum

    Relative speed of train = 63–3 = 60 kmph

    = 60 ×
    5
    m/sec
    18

    ∴  Time =
    Length of train
    Relative Speed

    =
    500 × 18
    = 30 sec.
    60 × 5

    Correct Option: B

    Relative speed of train = 63–3 = 60 kmph

    = 60 ×
    5
    m/sec
    18

    ∴  Time =
    Length of train
    Relative Speed

    =
    500 × 18
    = 30 sec.
    60 × 5


  1. A train 100m long is running at the speed of 30 km/hr. The time (in second) in which it will pass a man standing near the railway line is :
    1. 10
    2. 11
    3. 12
    4. 15

  1. View Hint View Answer Discuss in Forum

    In this situation, the train covers it length.

    Required time =
    100
    hr.
    30 × 1000

    Required time =
    100 × 60 × 60
    = 12 seconds
    30 × 1000

    Correct Option: C

    In this situation, the train covers it length.

    Required time =
    100
    hr.
    30 × 1000

    Required time =
    100 × 60 × 60
    = 12 seconds
    30 × 1000



  1. A train 180 m long moving at the speed of 20 m/sec. over-takes a man moving at a speed of 10m/sec in the same direction. The train passes the man in :
    1. 6 sec
    2. 9 sec
    3. 18 sec
    4. 27 sec

  1. View Hint View Answer Discuss in Forum

    Relative speed of man and train = 20 – 10 = 10m/sec.

    ∴  Required time =
    180
    = 18 seconds
    10

    Correct Option: C

    Relative speed of man and train = 20 – 10 = 10m/sec.

    ∴  Required time =
    180
    = 18 seconds
    10