Speed, Time and Distance


  1. A car travels 80 km. in 2 hours and a train travels 180 km. in 3 hours. The ratio of the speed of the car to that of the train is :
    1. 2 : 3
    2. 3 : 2
    3. 3 : 4
    4. 4 : 3

  1. View Hint View Answer Discuss in Forum

    Speed =
    Distance
    Time

    ∴  Speed of car : Speed of train
    =
    80
    :
    180
    = 40 : 60 = 2 : 3
    23

    Correct Option: A

    Speed =
    Distance
    Time

    ∴  Speed of car : Speed of train
    =
    80
    :
    180
    = 40 : 60 = 2 : 3
    23


  1. A truck covers a distance of 550 metre in one minute where as a bus
    covers a distance of 33 km in
    3
    hour.
    4
    Then the ratio of their speeds is :
    1. 1 : 3
    2. 2 : 3
    3. 3 : 4
    4. 1 : 4

  1. View Hint View Answer Discuss in Forum

    Speed of truck =
    550 metre
    60 second

    =
    55
    m./sec.
    6

    Speed of bus =
    33 × 1000 metre
    3
    × 60 × 60 second
    4

    =
    440
    m./sec.
    36

    ∴   Required ratio =
    55
    :
    440
    636

    = 55 × 6 : 440
    = 3 : 4

    Correct Option: C

    Speed of truck =
    550 metre
    60 second

    =
    55
    m./sec.
    6

    Speed of bus =
    33 × 1000 metre
    3
    × 60 × 60 second
    4

    =
    440
    m./sec.
    36

    ∴   Required ratio =
    55
    :
    440
    636

    = 55 × 6 : 440
    = 3 : 4



  1. It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is :
    1. 3 : 5
    2. 3 : 4
    3. 4 : 3
    4. 4 : 5

  1. View Hint View Answer Discuss in Forum

    Let the speed of train be x kmph. and the speed of car be y kmph.

    Time =
    Distance
    Speed

    According to the question,
    120
    +
    480
    = 8
    xy

    ⇒ 
    15
    +
    60
    = 1   .....(i)
    xy

    and,  
    200
    +
    400
    =
    25
    xy3

    ⇒ 
    8
    +
    16
    =
    1
    xy3

    ⇒ 
    24
    +
    48
    = 1   .....(ii)
    xy

    From equations (i) and (ii),
    ⇒ 
    24
    +
    48
    =
    15
    +
    60
    xyxy

    ⇒ 
    24
    15
    =
    60
    48
    xxyy

    ⇒ 
    9
    =
    12
    xy

    ⇒ 
    x
    =
    9
    =
    3
    = 3 : 4
    y124

    Correct Option: B

    Let the speed of train be x kmph. and the speed of car be y kmph.

    Time =
    Distance
    Speed

    According to the question,
    120
    +
    480
    = 8
    xy

    ⇒ 
    15
    +
    60
    = 1   .....(i)
    xy

    and,  
    200
    +
    400
    =
    25
    xy3

    ⇒ 
    8
    +
    16
    =
    1
    xy3

    ⇒ 
    24
    +
    48
    = 1   .....(ii)
    xy

    From equations (i) and (ii),
    ⇒ 
    24
    +
    48
    =
    15
    +
    60
    xyxy

    ⇒ 
    24
    15
    =
    60
    48
    xxyy

    ⇒ 
    9
    =
    12
    xy

    ⇒ 
    x
    =
    9
    =
    3
    = 3 : 4
    y124


  1. It takes 8 hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes
    20 minutes more if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is
    1. 2 : 3
    2. 3 : 2
    3. 3 : 4
    4. 4 : 3

  1. View Hint View Answer Discuss in Forum

    Speed of train = x kmph
    Speed of car = y kmph
    Case I,

    120
    +
    600 − 120
    = 8
    xy

    ⇒ 
    120
    +
    480
    = 8
    xy

    ⇒ 
    15
    +
    60
    = 1   ...(i)
    xy

    Case II,
    200
    +
    400
    = 8 hours 20 minutes
    xy

    ⇒ 
    200
    +
    400
    = 8
    1
    hours
    xy3

    =
    25
    3

    ⇒ 
    8
    +
    16
    =
    1
    xy3

    ⇒ 
    24
    +
    48
    = 1   .......(ii)
    xy

    ∴ 
    15
    +
    60
    =
    24
    +
    48
    xyxy

    ⇒ 
    24
    15
    =
    60
    48
    xxyy

    ⇒ 
    9
    =
    12
    x
    =
    9
    =
    3
    = 3 : 4
    xyy124

    Correct Option: C

    Speed of train = x kmph
    Speed of car = y kmph
    Case I,

    120
    +
    600 − 120
    = 8
    xy

    ⇒ 
    120
    +
    480
    = 8
    xy

    ⇒ 
    15
    +
    60
    = 1   ...(i)
    xy

    Case II,
    200
    +
    400
    = 8 hours 20 minutes
    xy

    ⇒ 
    200
    +
    400
    = 8
    1
    hours
    xy3

    =
    25
    3

    ⇒ 
    8
    +
    16
    =
    1
    xy3

    ⇒ 
    24
    +
    48
    = 1   .......(ii)
    xy

    ∴ 
    15
    +
    60
    =
    24
    +
    48
    xyxy

    ⇒ 
    24
    15
    =
    60
    48
    xxyy

    ⇒ 
    9
    =
    12
    x
    =
    9
    =
    3
    = 3 : 4
    xyy124



  1. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is
    1. 1 : 4
    2. 4 : 1
    3. 1 : 2
    4. 2 : 1

  1. View Hint View Answer Discuss in Forum

    Let speed of cyclist = x kmph
    & Time = t hours

    Distance =
    xt
    while time = 2t
    2

    ∴  Required ratio =
    xt
    : x
    2 × 2t

    = 1 : 4

    Correct Option: A

    Let speed of cyclist = x kmph
    & Time = t hours

    Distance =
    xt
    while time = 2t
    2

    ∴  Required ratio =
    xt
    : x
    2 × 2t

    = 1 : 4