Speed, Time and Distance


  1. A man covers
    2
    of the total journey
    15
    by train,
    9
    by bus and the remaining
    20
    10 km on foot. His total journey (in km) is
    1. 15.6
    2. 24
    3. 16.4
    4. 12.8

  1. View Hint View Answer Discuss in Forum

    Let the total journey be of x km, then

    2x
    +
    9x
    + 10 = x
    1520

    ⇒  x −
    2x
    9x
    = 10
    1520

    ⇒ 
    60x − 8x − 27x
    = 10
    60

    ⇒ 
    25x
    = 10
    60

    ⇒ x =
    60 × 10
    = 24 km
    25

    Correct Option: B

    Let the total journey be of x km, then

    2x
    +
    9x
    + 10 = x
    1520

    ⇒  x −
    2x
    9x
    = 10
    1520

    ⇒ 
    60x − 8x − 27x
    = 10
    60

    ⇒ 
    25x
    = 10
    60

    ⇒ x =
    60 × 10
    = 24 km
    25


  1. A speed of 30.6 km/.hr is the same as
    1. 8.5 m/sec.
    2. l0 m/sec.
    3. 12 m/sec.
    4. 15.5 m/sec.

  1. View Hint View Answer Discuss in Forum

    30.6 kmph

    30.06 ×
    5
    m/sec.
    18

    = 8.5 m/sec

    Correct Option: A

    30.6 kmph

    30.06 ×
    5
    m/sec.
    18

    = 8.5 m/sec



  1. A man rides at the rate of 18 km/ hr, but stops for 6 mins. to change horses at the end of every 7th km. The time that he will take to cover a distance of 90 km is
    1. 6 hrs.
    2. 6 hrs. 12 min.
    3. 6 hrs. 18 min.
    4. 6 hrs. 24 min.

  1. View Hint View Answer Discuss in Forum

    90 km = 12 × 7km + 6 km. To

    cover 7 km total time taken =
    7
    8

    hours + 6 min. =
    88
    min. So,
    3

    (12 × 7 km) would be covered in
    12 ×
    88
    min. and remaining 6 km is
    6
    hrs or 20 min
    318

    ∴  Total time =
    1056
    + 20
    3

    =
    1116
    hours = 6
    1
    hours
    3 × 60 5

    = 6 hours 12 minutes.

    Correct Option: B

    90 km = 12 × 7km + 6 km. To

    cover 7 km total time taken =
    7
    8

    hours + 6 min. =
    88
    min. So,
    3

    (12 × 7 km) would be covered in
    12 ×
    88
    min. and remaining 6 km is
    6
    hrs or 20 min
    318

    ∴  Total time =
    1056
    + 20
    3

    =
    1116
    hours = 6
    1
    hours
    3 × 60 5

    = 6 hours 12 minutes.


  1. A train covers a certain distance in 210 minutes at a speed of 60 kmph. The time taken by the train, to cover the same distance at a speed of 80 kmph is :
    1. 3
      5
      hours
      8
    2. 2
      5
      hours
      8
    3. 4
      5
      hours
      8
    4. 3 hours

  1. View Hint View Answer Discuss in Forum

    Speed of train = 60 kmph
    Time = 210 minutes

    =
    210
    hours
    60

    or  
    7
    hours
    2

    Distance covered = 60 ×
    7
    = 210 km
    2

    Time taken at 80 kmph =
    210
    =
    21
    hours
    808

    = 2
    5
    hours
    8


    Second Method :
    Here, S1 60, t1 =
    210
    hrs
    60

    S2 = 80, t2 = ?
    S1t1 = S2t2
    60 ×
    210
    = 80 × t2
    60

    t2 = 2
    5
    hrs
    8

    Correct Option: B

    Speed of train = 60 kmph
    Time = 210 minutes

    =
    210
    hours
    60

    or  
    7
    hours
    2

    Distance covered = 60 ×
    7
    = 210 km
    2

    Time taken at 80 kmph =
    210
    =
    21
    hours
    808

    = 2
    5
    hours
    8


    Second Method :
    Here, S1 60, t1 =
    210
    hrs
    60

    S2 = 80, t2 = ?
    S1t1 = S2t2
    60 ×
    210
    = 80 × t2
    60

    t2 = 2
    5
    hrs
    8



  1. The speed 3
    1
    m/sec when expressed
    3
    in km/hour becomes
    1. 8
    2. 9
    3. 10
    4. 12

  1. View Hint View Answer Discuss in Forum

    ∵  1 m/sec =
    18
    kmph
    5

    ∴ 
    10
    m/sec
    3

    =
    18
    ×
    10
    = 12 kmph
    53

    Correct Option: D

    ∵  1 m/sec =
    18
    kmph
    5

    ∴ 
    10
    m/sec
    3

    =
    18
    ×
    10
    = 12 kmph
    53