Speed, Time and Distance


  1. A train cover a distance in 50 minutes, if it runs at a speed of 48 km per hour on an average. The speed at which the train must run to reduce the time of journey to 40 minutes ?
    1. 50 km/hr.
    2. 55 km/hr.
    3. 60 km/hr.
    4. 70 km/hr.

  1. View Hint View Answer Discuss in Forum

    Total Distance = 48 x (50/60) km.
    = 40 km

    Required speed = [40 / (40/60)] km.

    Correct Option: C

    Total Distance = 48 x (50/60) km.
    = 40 km

    Required speed = [40 / (40/60)] km.
    = (40 x 60 )/ 40 km/hr.
    = 60 km/hr.


  1. Excluding stoppages, the speed of a bus is 54 km/hr. and including stoppages it is 45 km/hr. for how many minutes does the bus stop per hour ?
    1. 9
    2. 10
    3. 12
    4. 20

  1. View Hint View Answer Discuss in Forum

    Due to stoppages, it covers 9 km. less per hour.
    Required ans is, time taken to cover 9 km.

    Correct Option: B

    Due to stoppages, it covers 9 km. less per hour

    Required time = Time taken to cover 9 km.
    = 9 / ( 54 /60) min
    = 10 min



  1. Two men start together to walk to a certain destination, one at 3.75 km an hour and another at 3 km an hour. The former arrives half an hour before the latter, the distance is ?
    1. 9.5 km.
    2. 8 km.
    3. 7.5 km.
    4. 6 km.

  1. View Hint View Answer Discuss in Forum

    Let the distance be y km.
    From question
    y/3 - y/3.75 = 1/2

    Correct Option: C

    Let the distance be y km.
    From question
    y/3 - y/3.75 = 1/2
    ⇒ (3.75y - 3y) / (3 x 3.75) = 1/2
    ⇒ 1.5y= 3 x 3.75
    ∴ y = ( 3 x 3.75 ) / 1.5
    = 7.5 km.


  1. A car covers four successive three km stretches at speed of 10 km/hr, 20 km/hr, 30 km/hr and 60 km/hr. respectively. Its average speed over this distance is ?
    1. 10 km/hr.
    2. 20 km/hr .
    3. 30 km/hr.
    4. 25 km/hr .

  1. View Hint View Answer Discuss in Forum

    Total time taken = (3/10 + 3/20 + 3/30 + 3/60) hrs.
    = 3/5 hrs.

    Correct Option: B

    Total time taken = (3/10 + 3/20 + 3/30 + 3/60) hrs.
    = 3/5 hrs.

    ∴ Average speed = {12 / (3 / 5)} km/hr.
    = (12 x 5 ) / 3 km/hr.
    = 20 km/hr.



  1. A car complete a certain journey in 8 hour. It cover half the distance at 40 km/hr and the rest at 60 km/hr, The length of a journey is ?
    1. 350 km.
    2. 420 km.
    3. 384 km.
    4. 400 km.

  1. View Hint View Answer Discuss in Forum

    Let the length of total journey be y km.

    From question
    ( y/2 x 1/40 ) + ( y/2 x 1/60) = 8

    Correct Option: C

    Let the length of total journey be y km.

    From question
    ( y/2 x 1/40 ) + ( y/2 x 1/60) = 8
    ⇒ y/80 + y/120 = 8
    ⇒ 3y + 2y = 1920
    ∴ y = 384 km.