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27 April, 23:11

Kenneth walks 2 miles in 40 minutes. What is his speed?

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  1. 27 April, 23:41
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    See Explanation

    Step-by-step explanation:

    1. Create a fraction based on what you have.

    Kenneth is walking 2 miles per 40 minutes. In a fraction, this would appear as 2m/40min.

    2. Simplify your fraction.

    We know to simplify that we must divide the numerator and denominator by a common factor, which, in this case, is 2. 2/2=1, 40/2=20.

    3. Re-access.

    Kenneth is walking 1 mile per 20 minutes.

    As a fraction: 1m/20min.

    4. Determine what form you want this in.

    You did NOT state what form you wanted this problem to finish out in. If it's JUST minutes, then his speed would be 1 mile per 20 minutes. However, "speed" commonly refers to "miles per hour". This involves a couple more steps.

    5. Do the math. 1/20 = 0.05, which means Kenneth is walking exactly 0.05 miles per single minute. To check this, we could do 0.05 * 20, because he walks 1 mile every 20 minutes, and our answer would be 1, meaning we're correct.

    6. Determine the distance he walks in an HOUR.

    You've already found his walking distance per minute. Your fraction now looks like 0.05/1 How do you make 1 minute into one hour? Simple, you multiply by 60! What you do to one side of the equation, you must do to the other.

    0.05*60=3

    7. Finish.

    Kenneth walks 3 miles every hour.

    His speeds can be represented as any of the following:

    .05 miles per 1 minute. (.05m/1min)

    1 mile per 20 minutes. (1m/20min)

    2 miles per 40 minutes. (2m/40min)

    3 miles per hour (3m/60min OR 3mph)
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