Speed, Time and Distance


  1. The time taken by a train 160 m long, running at 72 km/hr, in crossing an electric pole is









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    Distance covered in crossing a pole = Length of train
    Speed of train = 72 kmph

    =
    72 × 5
    m./sec.
    18

    = 20 m./sec.
    ∴  Required time =
    160
    20

    = 8 seconds

    Correct Option: A

    Distance covered in crossing a pole = Length of train
    Speed of train = 72 kmph

    =
    72 × 5
    m./sec.
    18

    = 20 m./sec.
    ∴  Required time =
    160
    20

    = 8 seconds


  1. A train 150m long passes a km stone in 30 seconds and another train of the same length travelling in opposite direction in 10 seconds. The speed ot the second train is :









  1. View Hint View Answer Discuss in Forum

    ∴  Speed of train =
    150
    = 5 m/sec.
    30

    Speed of train B = x m/sec.
    Relative speed = (5+x) m/sec.
    ∴  Length of both trains = Relative speed × Time
    ⇒  300 = (5 + x) × 10
    ⇒  5 + x =
    300
    = 30
    10

    ⇒  x = 30 – 5 = 25 m/sec.
    =
    25 × 18
    kmph.
    5

    = 90 kmph.

    Correct Option: A

    ∴  Speed of train =
    150
    = 5 m/sec.
    30

    Speed of train B = x m/sec.
    Relative speed = (5+x) m/sec.
    ∴  Length of both trains = Relative speed × Time
    ⇒  300 = (5 + x) × 10
    ⇒  5 + x =
    300
    = 30
    10

    ⇒  x = 30 – 5 = 25 m/sec.
    =
    25 × 18
    kmph.
    5

    = 90 kmph.



  1. A train is 250m long. If the train takes 50 seconds to cross a tree by the railway line, then the speed of the train in km/hr is :









  1. View Hint View Answer Discuss in Forum

    Speed of train =
    Length of train
    Time taken in crossing

    =
    250
    = 5 m/sec.
    50

    = 5 ×
    18
    kmph.
    5

    = 18 kmph

    Correct Option: D

    Speed of train =
    Length of train
    Time taken in crossing

    =
    250
    = 5 m/sec.
    50

    = 5 ×
    18
    kmph.
    5

    = 18 kmph


  1. A train passes an electrical pole in 20 seconds and passes a platform 250 m long in 45 seconds. Find the length of the train.









  1. View Hint View Answer Discuss in Forum

    If the length of train be x metre,
    then speed of train

    =
    x
    =
    x + 250
    2045

    ⇒ 
    x
    =
    x + 250
    49

    ⇒  9x = 4x + 1000
    ⇒  9x – 4x = 1000
    ⇒  5x = 1000
    ⇒  x =
    1000
    = 200 metre
    5

    Correct Option: B

    If the length of train be x metre,
    then speed of train

    =
    x
    =
    x + 250
    2045

    ⇒ 
    x
    =
    x + 250
    49

    ⇒  9x = 4x + 1000
    ⇒  9x – 4x = 1000
    ⇒  5x = 1000
    ⇒  x =
    1000
    = 200 metre
    5



  1. If a man walks at the rate of 5 km/hour, he misses a train by 7 minutes. However if he walks at the rate of 6 km/hour, he reaches the station 5 minutes before the arrival of the train. The distance covered by him to reach the station is









  1. View Hint View Answer Discuss in Forum

    Let the required distance be x km.
    Difference of time = 7 + 5 = 12

    minutes =
    1
    hour
    5

    Time =
    Distance
    Speed

    According to the question,
    x
    x
    =
    1
    565

    ⇒ 
    6x − 5x
    =
    1
    305

    ⇒ 
    x
    =
    1
    305

    ⇒  x =
    30
    = 6 km.
    5

    Correct Option: D

    Let the required distance be x km.
    Difference of time = 7 + 5 = 12

    minutes =
    1
    hour
    5

    Time =
    Distance
    Speed

    According to the question,
    x
    x
    =
    1
    565

    ⇒ 
    6x − 5x
    =
    1
    305

    ⇒ 
    x
    =
    1
    305

    ⇒  x =
    30
    = 6 km.
    5