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 :









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    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









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    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. 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. 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. 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