Speed, Time and Distance


  1. A cyclist, after cycling a distance of 70 km on the second day, finds that the ratio of distance covered by him on the first two days is 4 : 5. If he travels a distance of 42 km. on the third day, then the ratio of distance travelled on the third day and the first day is :
    1. 4 : 3
    2. 3 : 2
    3. 3 : 4
    4. 2 : 3

  1. View Hint View Answer Discuss in Forum

    Distance covered on the first day =
    4
    × 70 = 56 km
    5

    ∴  Required ratio = 42 : 56 = 3 : 4

    Correct Option: C

    Distance covered on the first day =
    4
    × 70 = 56 km
    5

    ∴  Required ratio = 42 : 56 = 3 : 4


  1. A and B run a 5 km race on a round course of 400 m. If their speed are in the ratio 5 : 4, the
    number of times, the winner passes the other, is
    1. 1
    2. 2
    3. 3
    4. 5

  1. View Hint View Answer Discuss in Forum

    The winner will pass the other, one time in covering 1600m.
    Hence, the winner will pass the other 3 times in completing 5km race.

    Correct Option: C

    The winner will pass the other, one time in covering 1600m.
    Hence, the winner will pass the other 3 times in completing 5km race.



  1. Three cars travelled distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1,
    then the ratio of their speed is
    1. 3 : 9 : 1
    2. 1 : 3 : 9
    3. 1 : 2 : 4
    4. 4 : 3 : 2

  1. View Hint View Answer Discuss in Forum

    Required ratio =
    1
    :
    2
    :
    3
    321

    =
    1
    : 1 : 3
    3

    1
    × 3 : 1 × 3 : 3 × 3
    3

    ∴  Speed =
    Distance
    Time

    = 1 : 3 : 9

    Correct Option: B

    Required ratio =
    1
    :
    2
    :
    3
    321

    =
    1
    : 1 : 3
    3

    1
    × 3 : 1 × 3 : 3 × 3
    3

    ∴  Speed =
    Distance
    Time

    = 1 : 3 : 9


  1. The speed of two trains are in the ratio 6 : 7. If the second train runs 364 km in 4 hours, then
    the speed of first train is
    1. 60 km/hr
    2. 72 km/hr
    3. 78 km/hr
    4. 84 km/hr

  1. View Hint View Answer Discuss in Forum

    Speed of second train =
    364
    = 91 kmph
    4

    ∴  7x ≡ 91
    ⇒ 6x ≡
    91
    × 6x ≡ 78 kmph
    7x

    Correct Option: C

    Speed of second train =
    364
    = 91 kmph
    4

    ∴  7x ≡ 91
    ⇒ 6x ≡
    91
    × 6x ≡ 78 kmph
    7x



  1. Two trains started at the same time, one from A to B and the other from B to A. If they arrived at B and A respectively 4 hours and 9 hours after they passed each other, the ratio of the speed of the two trains was
    1. 2 : 1
    2. 3 : 2
    3. 4 : 3
    4. 5 : 4

  1. View Hint View Answer Discuss in Forum

    Required ratio of the speed of two trains =
    9
    4

    =
    3
    or 3 : 2
    2

    Correct Option: B

    Required ratio of the speed of two trains =
    9
    4

    =
    3
    or 3 : 2
    2