Jason’s boat can travel 24 3/4 miles in 1/2 hour. what is his average speed in miles per hour ?

Jason's boat can travel 24 3/4 miles in 1/2 hour. what is his average speed in miles per hour ?

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  1. 24 3/4 miles is the distance
    1/2 hour - is time
    V=S/t
    24[tex]\frac{3}{4}[/tex]  / 0.5 = [tex]\frac{(24*4+3)2}{4}[/tex]=49.5  miles per hour

  2. [tex]\text{Average speed}=49\dfrac{1}{2}[/tex] miles per hour

    Step-by-step explanation:

    Formula to find the average speed is given by :-

    [tex]\text{Average speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]

    Given : Distance = [tex]24\dfrac{3}{4}[/tex] miles=[tex]\dfrac{24\times4+3}{4}[/tex] miles

    [tex]=\dfrac{99}{4}[/tex] miles

    Time =[tex]\dfrac{1}{2}[/tex] hour

    Then, [tex]\text{Average speed}=\dfrac{\dfrac{99}{4}}{\dfrac{1}{2}}[/tex]

    i.e. [tex]\text{Average speed}=\dfrac{99\times2}{4}=\dfrac{99}{2}[/tex]

    i.e. [tex]\text{Average speed}=49\dfrac{1}{2}[/tex] miles per hour

  3. 49 1/2 miles per hour

    Step-by-step explanation:

    To determine the average speed, we take the miles and divide by the hours

    speed ÷ hours

    24 3/4 ÷ 1/2

    Change the mixed number to an improper fraction

    24 3/4 = (4* 24+3)/4 =99/4

    99/4 ÷ 1/2

    Copy dot flip

    99/4 * 2/1

    99/2

    Change to a mixed number

    2 goes into 99   49 times  (49*2 = 98)  with 1 left over

    49 1/2 miles per hour

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