Speed, Time and Distance


  1. A speed of 45 km per hour is the same as
    1. 12.5 metre/seccond
    2. 13 metre/seccond
    3. 15 metre/seccond
    4. 12 metre/seccond

  1. View Hint View Answer Discuss in Forum

    Speed = 45 kmph

    =
    45 × 1000
    metre/second
    60 × 60

    =
    45 × 5
    metre/second
    18

    = 12.5 metre/second

    Correct Option: A

    Speed = 45 kmph

    =
    45 × 1000
    metre/second
    60 × 60

    =
    45 × 5
    metre/second
    18

    = 12.5 metre/second


  1. The distance between place A and B is 999 km. An express train leaves place A at 6 am and runs at a speed of 55.5 km/hr. The train stops on the way for 1 hour 20 minutes. It reaches B at
    1. 1.20 am
    2. 12 pm
    3. 6 pm
    4. 11 pm

  1. View Hint View Answer Discuss in Forum

    Time taken in covering 999 km

    =
    999
    = 18 hours
    55.5

    ∴  Required time = 18 hours + 1 hour 20 minutes
    = 19 hours 20 minutes
    i.e. 1 : 20 am

    Correct Option: A

    Time taken in covering 999 km

    =
    999
    = 18 hours
    55.5

    ∴  Required time = 18 hours + 1 hour 20 minutes
    = 19 hours 20 minutes
    i.e. 1 : 20 am



  1. Two cars are moving with speed v1, v2 towards a crossing along two roads. If their distance from the crossing be 40 metres and 50 metres at an instant of time then they do not collide if their speed are such that
    1. v1 : v2 = 16 : 25
    2. v1 : v2 ≠ 4 : 5
    3. v1 : v2 ≠ 5 : 4
    4. v1 : v2 = 25 : 16

  1. View Hint View Answer Discuss in Forum


    Let time taken be equal

    i.e., 
    40
    =
    50
    ,   then
    V1 V2

    they will collide i.e. cars will reach at the same time.
    ∴  
    V1
    40
    =
    4
    V2505

    Correct Option: B


    Let time taken be equal

    i.e., 
    40
    =
    50
    ,   then
    V1 V2

    they will collide i.e. cars will reach at the same time.
    ∴  
    V1
    40
    =
    4
    V2505


  1. A, B, C walk 1 km in 5 minutes, 8 minutes and 10 minutes respectively. C starts walking from a point, at a certain time, B starts from the same point 1 minutes later and A starts from the same point 2 minutes later than C. Then A meets B and C after
    1. 5
      min, 2 min
      3
    2. 1 min, 2 min
    3. 2 min, 3 min
    4. 4
      min, 3 min
      3

  1. View Hint View Answer Discuss in Forum

    A’s speed =
    1000
    = 200 m/minute
    5

    B’s speed =
    1000
    = 125 m/minute
    8

    C’s speed =
    1000
    = 100 m/minute
    10

    Distance covered by C in 2 minutes = 200 metre
    Distance covered by B in 1 minute = 125 metre
    Relative speed of A with respect to C = 100 metre
    ∴  Time =
    200
    = 2 minutes
    100

    Relative speed of A with respect ot B = 75 metre
    ∴  Time =
    125
    =
    5
    minutes
    753

    Correct Option: A

    A’s speed =
    1000
    = 200 m/minute
    5

    B’s speed =
    1000
    = 125 m/minute
    8

    C’s speed =
    1000
    = 100 m/minute
    10

    Distance covered by C in 2 minutes = 200 metre
    Distance covered by B in 1 minute = 125 metre
    Relative speed of A with respect to C = 100 metre
    ∴  Time =
    200
    = 2 minutes
    100

    Relative speed of A with respect ot B = 75 metre
    ∴  Time =
    125
    =
    5
    minutes
    753



  1. Ram travelled 1200 km by air which formed
    2
    of his trip.
    5
    He travelled one-third of the trip by car and the rest by train. The distance (in km) travelled by train was
    1. 480
    2. 800
    3. 1600
    4. 1800

  1. View Hint View Answer Discuss in Forum

    Total distance of trip

    =
    1200 × 5
    = 3000 km
    2

    Part of journey covered by train
    = 1 −
    2
    1
    =
    15 − 6 − 5
    =
    4
    531515

    ∴  Distance covered by train = 3000 ×
    4
    15

    = 800 km

    Correct Option: B

    Total distance of trip

    =
    1200 × 5
    = 3000 km
    2

    Part of journey covered by train
    = 1 −
    2
    1
    =
    15 − 6 − 5
    =
    4
    531515

    ∴  Distance covered by train = 3000 ×
    4
    15

    = 800 km