On skates, Ian can travel `\frac{3}{4}`of a mile in 5 minutes. On his bike, he can travel `3\ \frac{1}{2}`miles in 12 minutes. How fast, in

Question

On skates, Ian can travel `\frac{3}{4}`of a mile in 5 minutes. On his bike, he can travel `3\ \frac{1}{2}`miles in 12 minutes. How fast, in miles per hour, can Ian travel on skates AND on his bike?

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RI SƠ 4 years 2021-08-14T01:21:02+00:00 1 Answers 10 views 0

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  1. haidang
    0
    2021-08-14T01:22:02+00:00
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    Answer:

    a) 9 miles/hour

    b) 17.5 miles/hour

    Step-by-step explanation:

    The formula for speed = Distance (Miles) / Time(hours)

    a) he can travel 3/4 of a mile in 5 minutes.

    = 3/4 miles = 5 minutes

    We convert 5 minutes to hour

    = 60 minutes = 1 hour

    5 minutes = x

    Cross Multiply

    60x = 5

    x = 5/60

    x = 1/12 hour

    Hence, his skate speed =

    3/4miles /1/12 hour

    = 3/4 ÷ 1/12

    = 3/4 × 12/1

    = 9 miles/hour

    b) On his bike, he can travel 3 1/2 miles in 12 minutes.

    = 3 1/2 = 12 minutes

    = 7/2 miles = 12 minutes

    We convert 12 minutes to hour

    = 60 minutes = 1 hour

    12 minutes = x

    Cross Multiply

    60x = 12

    x = 12/60

    x = 1/5 hour

    Hence, his skate speed =

    7/2 miles /1/5 hour

    = 7/2 ÷ 1/5

    = 7/2 × 5

    = 35/2 miles/hour

    = 17.5 miles/hour

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