Speed, Time and Distance


  1. A train, 200 metre long, is running at a speed of 54 km/hr. The time in seconds that will be taken by train to cross a 175 metre long bridge is :









  1. View Hint View Answer Discuss in Forum

    Speed of train = 54 kmph

    =
    54 × 5
    m/sec.
    18

    = 15 m/sec.
    ∴  Required time =
    Length of train and bridge
    Speed of train

    =
    200 + 175
    seconds
    15

    =
    375
    seconds
    15

    = 25 seconds

    Correct Option: C

    Speed of train = 54 kmph

    =
    54 × 5
    m/sec.
    18

    = 15 m/sec.
    ∴  Required time =
    Length of train and bridge
    Speed of train

    =
    200 + 175
    seconds
    15

    =
    375
    seconds
    15

    = 25 seconds


  1. A train, 500 metre long, running at a uniform speed, passes a station in 35 seconds. If the length of the platform is 221 metre, the speed of the train in km/hr is









  1. View Hint View Answer Discuss in Forum

    Speed of train =
    Length of platform and train
    Time taken in crossing

    =
    221 + 500
    metre/second
    35

    =
    721
    metre/second
    35

    =
    721 × 18
    kmph
    35 × 5

    = 74.16 kmph

    Correct Option: B

    Speed of train =
    Length of platform and train
    Time taken in crossing

    =
    221 + 500
    metre/second
    35

    =
    721
    metre/second
    35

    =
    721 × 18
    kmph
    35 × 5

    = 74.16 kmph



  1. The lengths of a train and that of a platform are equal. If with a speed of 90 km/hr the train
    crosses the platform in one minute, then the length of the train (in metres) is









  1. View Hint View Answer Discuss in Forum

    Let, length of train = length of platform = x metre
    Speed of train = 90 kmph

    =
    90 × 5
    m/sec.
    18

    = 25 m/sec.
    ∴  Speed of train =
    Length of platform and train
    Time taken in crossing

    ⇒  25 =
    2x
    ⇒ 2x = 25 × 60
    60

    ⇒  x =
    25 × 60
    = 750 metre
    2

    Correct Option: C

    Let, length of train = length of platform = x metre
    Speed of train = 90 kmph

    =
    90 × 5
    m/sec.
    18

    = 25 m/sec.
    ∴  Speed of train =
    Length of platform and train
    Time taken in crossing

    ⇒  25 =
    2x
    ⇒ 2x = 25 × 60
    60

    ⇒  x =
    25 × 60
    = 750 metre
    2


  1. A moving train passes a platform 50 metre long in 14 seconds and a lamp post in 10 seconds. The speed of the train (in km/h) is :









  1. View Hint View Answer Discuss in Forum

    Let the length of train be x metre.
    When a train crosses a platform, distance covered by it = length of train and platform.

    ∴  Speed of train =
    x + 50
    =
    x
    1410

    ⇒ 
    x + 50
    =
    x
    75

    ⇒  7x = 5x + 250
    ⇒  7x – 5x = 250
    ⇒ 2x = 250 ⇒ x =
    250
    = 125 metre
    2

    ∴ Speed of train =
    x
    10

    =
    125
    m./sec.
    10

    =
    125
    ×
    18
    kmph
    105

    = 45 kmph

    Correct Option: D

    Let the length of train be x metre.
    When a train crosses a platform, distance covered by it = length of train and platform.

    ∴  Speed of train =
    x + 50
    =
    x
    1410

    ⇒ 
    x + 50
    =
    x
    75

    ⇒  7x = 5x + 250
    ⇒  7x – 5x = 250
    ⇒ 2x = 250 ⇒ x =
    250
    = 125 metre
    2

    ∴ Speed of train =
    x
    10

    =
    125
    m./sec.
    10

    =
    125
    ×
    18
    kmph
    105

    = 45 kmph



  1. A train 150 metre long takes 20 seconds to cross a platform 450 metre long. The speed of the train in, km per hour, is :









  1. View Hint View Answer Discuss in Forum

    Speed of train =
    length of platform and train
    Time taken in crossing

    =
    450 + 150
    m/sec.
    20

    =
    600
    m/sec.
    20

    = 30 ×
    18
    kmph
    5

    = 108 kmph.

    Correct Option: A

    Speed of train =
    length of platform and train
    Time taken in crossing

    =
    450 + 150
    m/sec.
    20

    =
    600
    m/sec.
    20

    = 30 ×
    18
    kmph
    5

    = 108 kmph.