Speed, Time and Distance


  1. A man travels
    3
    th of the distance
    4

    of his journey by bus,
    1
    th by rickshaw
    6
    and 2 km on foot. The total distance travelled by the man is :









  1. View Hint View Answer Discuss in Forum

    Part of journey covered by bus and rickshaw

    =
    3
    +
    1
    =
    9 + 2
    =
    11
    461212

    Distance covered on foot
    = 1 −
    11
    =
    1
    part
    1212

    ∴  Total journey
    = 12 × 2 = 24 km.

    Correct Option: D

    Part of journey covered by bus and rickshaw

    =
    3
    +
    1
    =
    9 + 2
    =
    11
    461212

    Distance covered on foot
    = 1 −
    11
    =
    1
    part
    1212

    ∴  Total journey
    = 12 × 2 = 24 km.


  1. A train is running at a speed of 116 km/hr. The distance covered by the train in metres in 18 seconds is :









  1. View Hint View Answer Discuss in Forum

    Speed of train = 116 kmph

    = 116 ×
    5
    m/sec.
    18

    =
    580
    m./sec.
    18

    ∴  Required distance
    = Speed × Time
    =
    580
    × 18 metre
    18

    = 580 metre

    Correct Option: D

    Speed of train = 116 kmph

    = 116 ×
    5
    m/sec.
    18

    =
    580
    m./sec.
    18

    ∴  Required distance
    = Speed × Time
    =
    580
    × 18 metre
    18

    = 580 metre



  1. Two buses travel to a place at 45 km./hr. and 60 km./hr. respectively.
    If the second bus takes 5
    1
    hours
    2
    less than the first for the journey, the length of the journey is :









  1. View Hint View Answer Discuss in Forum

    Time taken by bus moving at 60 kmph = t hours
    Distance = Speed × Time

    ∴  60 × t = 45 × t +
    11
    2

    ⇒  60t – 45t =
    45 × 11
    2

    ⇒  15t =
    45 × 11
    2

    ⇒  t =
    45 × 11
    =
    33
    15 × 2 2

    =
    60 × 33
    = 990 km.
    2

    Correct Option: C

    Time taken by bus moving at 60 kmph = t hours
    Distance = Speed × Time

    ∴  60 × t = 45 × t +
    11
    2

    ⇒  60t – 45t =
    45 × 11
    2

    ⇒  15t =
    45 × 11
    2

    ⇒  t =
    45 × 11
    =
    33
    15 × 2 2

    =
    60 × 33
    = 990 km.
    2


  1. A bus travels at the speed of 36 km/hr, then the distance covered by it in one second is









  1. View Hint View Answer Discuss in Forum

    Speed of bus = 36 kmph.

    =
    36 ×
    5
    m/sec. = 10 m/sec.
    18

    ∴  Distance covered in 1 second = 10 metre

    Correct Option: A

    Speed of bus = 36 kmph.

    =
    36 ×
    5
    m/sec. = 10 m/sec.
    18

    ∴  Distance covered in 1 second = 10 metre



  1. A man cycles at the speed of 8 km/hr and reaches office at 11 am and when he cycles at the speed of 12 km/hr he reaches office at 9 am. At what speed should he cycle so that he reaches his office at 10 am?









  1. View Hint View Answer Discuss in Forum

    Distance of the office = x km.
    Difference of time = 2 hours

    ∴ 
    x
    x
    = 2
    812

    3x − 2x
    = 2
    24

    x
    = 2 ⇒ x = 48 km.
    24

    ∴  Time taken at the speed of 8 kmph
    =
    48
    = 6 hours
    8

    ∴  Required time to reach the
    office at 10 a.m. i.e., in 5 hours
    =
    48
    kmph
    5

    = 9.6 kmph

    Correct Option: A

    Distance of the office = x km.
    Difference of time = 2 hours

    ∴ 
    x
    x
    = 2
    812

    3x − 2x
    = 2
    24

    x
    = 2 ⇒ x = 48 km.
    24

    ∴  Time taken at the speed of 8 kmph
    =
    48
    = 6 hours
    8

    ∴  Required time to reach the
    office at 10 a.m. i.e., in 5 hours
    =
    48
    kmph
    5

    = 9.6 kmph