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Race with a head start: speed of the loser or the winning margin

This type of question, asked 3 times: CDS 1 2017, CDS 2 2017, CDS 1 2020. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    23
    In a 100 m race, A runs at a speed of 53\dfrac{5}{3} m/s. If A gives a start of 4 m to B and still beats him by 12 seconds, what is the speed of B ?

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  2. Question 2

    CDS 2 2017

    13
    In a 100 m race, A runs at 6 km/hr. If A gives B a start of 8 m and still beats him by 9 seconds, what is the speed of B ?

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  3. Question 3

    CDS 1 2020

    28
    The ratio of speeds of XX and YY is 5:65 : 6. If YY allows XX a start of 70 m in a 1.2 km race, then who will win the race and by what distance ?

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