Speed, Time and Distance


  1. A can give 40 metres start to B and 70 metres to C in a race of one kilometre How many metres start can B give to C in a race of one kilometre ?









  1. View Hint View Answer Discuss in Forum

    According to the question,
    When A covers 1000m, B covers = 1000 – 40 = 960 m
    and C covers =1000 – 70 = 930 m
    When B covers 960m, C covers 930 m.
    ∴  When B covers 1000m, C covers

    =
    930
    × 1000 = 968.75 metre
    960

    Hence, B gives C a start of
    = 1000 – 968.75 = 31.25 metre

    Correct Option: B

    According to the question,
    When A covers 1000m, B covers = 1000 – 40 = 960 m
    and C covers =1000 – 70 = 930 m
    When B covers 960m, C covers 930 m.
    ∴  When B covers 1000m, C covers

    =
    930
    × 1000 = 968.75 metre
    960

    Hence, B gives C a start of
    = 1000 – 968.75 = 31.25 metre


  1. In a race of 200 metres, B can give a start of 10 metres to A, and C can give a start of 20 metres to B. The start that C can give to A, in the same race, is









  1. View Hint View Answer Discuss in Forum

    According to the question,
    ∵  When B runs 200 m metres, A runs 190 metres
    ∴  When B runs 180 metres, A runs

    =
    190
    × 180 = 171 metres
    200

    When C runs 200m, B runs 180 metres.
    Hence, C will give a start to A by
    = 200 – 171 = 29 metres

    Correct Option: C

    According to the question,
    ∵  When B runs 200 m metres, A runs 190 metres
    ∴  When B runs 180 metres, A runs

    =
    190
    × 180 = 171 metres
    200

    When C runs 200m, B runs 180 metres.
    Hence, C will give a start to A by
    = 200 – 171 = 29 metres



  1. In a race of 800 metres, A can beat B by 40 metres. In a race of 500 metres, B can beat C by 5 metres. In a race of 200 metres, A will beat C by









  1. View Hint View Answer Discuss in Forum

    According to the question,
    ∴  When A runs 800 metres, B runs 760 metres
    ∴  When A runs 200 metres, B runs

    =
    760
    × 200 = 190 metres
    800

    Again, when B runs 500 metres, C runs 495 metres.
    ∴  When B runs 190 metres, C runs
    =
    495
    × 190 = 188.1 metres
    500

    ∴  Hence, A will beat C by
    200 – 188.1 = 11.9 metres in a race of 200 metres.

    Correct Option: A

    According to the question,
    ∴  When A runs 800 metres, B runs 760 metres
    ∴  When A runs 200 metres, B runs

    =
    760
    × 200 = 190 metres
    800

    Again, when B runs 500 metres, C runs 495 metres.
    ∴  When B runs 190 metres, C runs
    =
    495
    × 190 = 188.1 metres
    500

    ∴  Hence, A will beat C by
    200 – 188.1 = 11.9 metres in a race of 200 metres.


  1. In a race of 1000 m, A can beat B by 100m. In a race of 400 m, B beats C by 40m. In a race of 500m. A will beat C by









  1. View Hint View Answer Discuss in Forum

    When A runs 1000m, B runs 900m.
    ∴  When A runs 500m, B runs 450 m.
    Again, when B runs 400m, C runs 360 m.
    ∴  When B runs 450m, C runs

    =
    360
    × 450 = 405 metres
    400

    Required distance = 500 – 405
    = 95 metres

    Correct Option: A

    When A runs 1000m, B runs 900m.
    ∴  When A runs 500m, B runs 450 m.
    Again, when B runs 400m, C runs 360 m.
    ∴  When B runs 450m, C runs

    =
    360
    × 450 = 405 metres
    400

    Required distance = 500 – 405
    = 95 metres



  1. In a 100m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 Kmph, then the speed of Bimal is









  1. View Hint View Answer Discuss in Forum

    Time taken by Kamal

    =
    100
    = 20 seconds
    18 ×
    5
    18

    ∴   Time taken by Bimal
    = 20 + 5 = 25 seconds
    ∴  Bimal’s speed =
    100
    = 4 m/sec
    25

    =
    4 × 18
    kmph = 14.4 kmph.
    5

    Correct Option: C

    Time taken by Kamal

    =
    100
    = 20 seconds
    18 ×
    5
    18

    ∴   Time taken by Bimal
    = 20 + 5 = 25 seconds
    ∴  Bimal’s speed =
    100
    = 4 m/sec
    25

    =
    4 × 18
    kmph = 14.4 kmph.
    5