Speed, Time and Distance


  1. A train 180 metres long is running at a speed of 90 km/h. How long will it take to pass a post ?









  1. View Hint View Answer Discuss in Forum

    Speed of train = 90 kmph

    = 90 ×
    5
    m/sec.
    18

    = 25 m/sec.
    When a train crosses a post, it covers a distance equal to its own length.
    ∴  Required time =
    Distance
    Speed

    =
    180
    = 7.2 seconds
    25

    Correct Option: D

    Speed of train = 90 kmph

    = 90 ×
    5
    m/sec.
    18

    = 25 m/sec.
    When a train crosses a post, it covers a distance equal to its own length.
    ∴  Required time =
    Distance
    Speed

    =
    180
    = 7.2 seconds
    25


  1. A train 300 m long is running with a speed of 54 km/hr. In what time will it cross a telephone pole?









  1. View Hint View Answer Discuss in Forum

    Speed of train = 54 kmph

    =
    54 × 5
    m/sec = 15 m/sec
    18

    Required time =
    Length of trains
    Speed of train

    =
    300
    = 20 seconds
    15

    Correct Option: A

    Speed of train = 54 kmph

    =
    54 × 5
    m/sec = 15 m/sec
    18

    Required time =
    Length of trains
    Speed of train

    =
    300
    = 20 seconds
    15



  1. A train, 120 m long, takes 6 seconds to pass a telegraph post; the speed of train is









  1. View Hint View Answer Discuss in Forum

    Speed of train =
    Length of train
    Time taken in crossing the pole

    =
    120
    = 20 m/sec
    6

    = 20 ×
    18
    = 72 kmph
    5

    Correct Option: A

    Speed of train =
    Length of train
    Time taken in crossing the pole

    =
    120
    = 20 m/sec
    6

    = 20 ×
    18
    = 72 kmph
    5


  1. A train 100 metres long meets a man going in opposite direction at 5 km/hr and
    passes him in 7
    1
    seconds.
    5
    What is the speed of the train (in km/hr) ?









  1. View Hint View Answer Discuss in Forum

    Let speed of train be x kmph
    Relative speed = (x + 5) kmph

    Length of train =
    100
    km
    1000

    =
    1
    km
    10

    1
    ∴  10
    x + 5

    =
    36
    5 × 60 × 60

    ⇒ 
    1
    =
    1
    10(x +5)500

    ⇒  x + 5 = 50
    ⇒  x = 45 kmph

    Correct Option: A

    Let speed of train be x kmph
    Relative speed = (x + 5) kmph

    Length of train =
    100
    km
    1000

    =
    1
    km
    10

    1
    ∴  10
    x + 5

    =
    36
    5 × 60 × 60

    ⇒ 
    1
    =
    1
    10(x +5)500

    ⇒  x + 5 = 50
    ⇒  x = 45 kmph



  1. A train is running at a speed of 90 km/hr. If it crosses a signal in 10 sec., the length of the train (in metres) is









  1. View Hint View Answer Discuss in Forum

    Speed of train = 90 kmph

    =
    90 × 5
    metre/second
    18

    = 25 metre/second
    If the length of the train be x then,
    Speed of train =
    Length of train
    Time taken in crossing the signal

    ⇒  25 =
    x
    10

    ⇒  x = 250 metre

    Correct Option: D

    Speed of train = 90 kmph

    =
    90 × 5
    metre/second
    18

    = 25 metre/second
    If the length of the train be x then,
    Speed of train =
    Length of train
    Time taken in crossing the signal

    ⇒  25 =
    x
    10

    ⇒  x = 250 metre