A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?

Question

A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?

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Gia Bảo 4 years 2021-08-31T12:55:25+00:00 1 Answers 28 views 0

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  1. lethu
    0
    2021-08-31T12:57:16+00:00
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    Answer:

    35 metres

    Step-by-step explanation:

    The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second

    Assuming that the total length of the race, that we’re looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.

    time taken by A = \frac{D}{1.25}

    time taken by B = \frac{D-7}{1}

    equating both together, we have

    \frac{D}{1.25} = \frac{D-7}{1}

    1.25D  – 8.75 = D

    1.25D – D = 8.75

    0.25D = 8.75

    D = 8.75/0.25

    D = 35

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