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. 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. 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. 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. 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. 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