Speed, Time and Distance


  1. A man walks ‘a’ km in ‘b’ hours. The time taken to walk 200 metres is
    1. 200b
      hours
      a
    2. b
      hours
      5a
    3. b
      hours
      a
    4. ab
      hours
      200

  1. View Hint View Answer Discuss in Forum

    Man’s speed =
    Distance
    Time

    =
    a
    kmph
    b

    =
    1000a
    m/hour
    b

    ∴  Time taken in walking 200 metre
    =
    200
    =
    b
    hours
    1000a/b5a

    Correct Option: B

    Man’s speed =
    Distance
    Time

    =
    a
    kmph
    b

    =
    1000a
    m/hour
    b

    ∴  Time taken in walking 200 metre
    =
    200
    =
    b
    hours
    1000a/b5a


  1. A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance will be :
    1. 10 minutes
    2. 13 minutes 20 sec
    3. 13 minutes
    4. 11 minutes 20 sec

  1. View Hint View Answer Discuss in Forum

    Speed of train =
    Distance
    Time

    =
    10
    kmph
    (12/60)

    =
    10 × 60
    = 50 kmph
    12

    New speed = 45 kmph
    ∴  Required time =
    10
    hour
    45

    =
    2
    × 60 minutes
    9

    =
    40
    minutes
    3

    = 13 minutes 20 seconds

    Correct Option: B

    Speed of train =
    Distance
    Time

    =
    10
    kmph
    (12/60)

    =
    10 × 60
    = 50 kmph
    12

    New speed = 45 kmph
    ∴  Required time =
    10
    hour
    45

    =
    2
    × 60 minutes
    9

    =
    40
    minutes
    3

    = 13 minutes 20 seconds



  1. Walking at the rate of 4 km an hour, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on cycle, cycling at the rate of 16·5 km/hour, the time taken by him is
    1. 55.45 minutes
    2. 54.55 minutes
    3. 55.44 minutes
    4. 45.55 minutes

  1. View Hint View Answer Discuss in Forum

    Distance covered on foot = 4 × 3
    3
    km. = 15 km.
    4

    ∴  Time taken on cycle
    =
    Distance
    =
    15
    hour
    Speed16.5

    =
    15 × 60
    minutes = 54.55 minutes
    16.5

    Correct Option: B

    Distance covered on foot = 4 × 3
    3
    km. = 15 km.
    4

    ∴  Time taken on cycle
    =
    Distance
    =
    15
    hour
    Speed16.5

    =
    15 × 60
    minutes = 54.55 minutes
    16.5


  1. A train starts from a place A at 6 a.m. and arrives at another place B at 4.30 p.m. on the same day. If the speed of the train is 40 km per hour, find the distance travelled by the train ?
    1. 420 km
    2. 230 km
    3. 320 km
    4. 400 km

  1. View Hint View Answer Discuss in Forum

    Time = 10
    1
    hours
    2

    =
    21
    hours
    2

    Speed = 40 kmph
    Distance = Speed × Time
    = 40 ×
    21
    = 420 km
    2

    Correct Option: A

    Time = 10
    1
    hours
    2

    =
    21
    hours
    2

    Speed = 40 kmph
    Distance = Speed × Time
    = 40 ×
    21
    = 420 km
    2



  1. Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the latter. Find the distance.
    1. 8 km
    2. 7 km
    3. 6 km
    4. 9 km

  1. View Hint View Answer Discuss in Forum

    If the required distance be x km, then

    x
    x
    =
    1
    342

    ⇒ 
    4x − 3x
    =
    1
    122

    ⇒ 
    x
    =
    1
    ⇒x = 6 km
    122


    Second Method :
    Here S1 = 4, t1 = x
    S2 = 3, t2 = x +
    1
    2

    S1t1 = S2t2
    4 × x = 3x +
    1
    2

    4x – 3x =
    3
    x =
    3
    22

    Distance =4 ×
    3
    = 6 kms
    2

    Correct Option: C

    If the required distance be x km, then

    x
    x
    =
    1
    342

    ⇒ 
    4x − 3x
    =
    1
    122

    ⇒ 
    x
    =
    1
    ⇒x = 6 km
    122


    Second Method :
    Here S1 = 4, t1 = x
    S2 = 3, t2 = x +
    1
    2

    S1t1 = S2t2
    4 × x = 3x +
    1
    2

    4x – 3x =
    3
    x =
    3
    22

    Distance =4 ×
    3
    = 6 kms
    2