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    Sarah_Marie's Avatar
    Sarah_Marie Posts: 24, Reputation: 1
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    #1

    Oct 22, 2010, 08:39 AM
    solving rational expressions
    Alice is in a 20-km running race. She always runs the first half at an average speed of 2 km/h faster than the second half.
    a) Let x represent her speed in the first half. Determine a simplified expression in terms of x for the total time needed for the race.
    b) If alice runs the first half at 10km/h, how long will it take her to run the race?
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Oct 22, 2010, 01:02 PM

    If x is the rate at which she runs the second half, then x+2 is the rate she runs the first half.

    Her average velocity is then



    If x=10, what is her average rate?

    Use that to find how long it takes her to run 20 km at that rate.

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