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Math Help - Help needed

  1. #1
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    Help needed

    Appreciate any help with the following especially (c)

    Jane enters a two-part race.
    (a) She cycles for 2 hours at a speed of (x + 8) kilometres per hour.
    Write down an expression in x for the distance cycled.

    (b) She then runs for 30 minutes at a speed of x kilometres per hour.
    Write down an expression in x for the distance run.

    (c) The total distance of the race is 46 kilometres.
    Calculate Jane’s running speed.
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  2. #2
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    Quote Originally Posted by drew1000 View Post
    Appreciate any help with the following especially (c)

    Jane enters a two-part race.
    (a) She cycles for 2 hours at a speed of (x + 8) kilometres per hour.
    Write down an expression in x for the distance cycled.
    =2(x+8)

    (b) She then runs for 30 minutes at a speed of x kilometres per hour.
    Write down an expression in x for the distance run.
    =.5x

    (c) The total distance of the race is 46 kilometres.
    Calculate Jane’s running speed.
    2(x+8)+.5x=46
    2x+16+0.5x=46
    2.5x=30
    x=30/2.5
    x=12 kilometers per hour
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