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A speedboat racer travels at a steady rate of 0.75 of a mile per 0.25 of a minute.

How many minutes does it take for the boat to travel 3 miles?

How long will it take for the boat to travel 7.5 miles?

  • math -

    for the first question, we just use ratio and proportion.
    let x = time it takes to travel 3 miles.
    0.75 mi : 0.25 min = 3 mi : x min
    therefore, writing in fraction,
    0.75/0.25 = 3/x
    cross-multiplying,
    0.75x = 0.25*3
    0.75x = 0.75
    x = 1 minute

    for the second, we also use ratio and proportion:
    let y = time it takes to travel 7.5 miles.
    0.75 mi : 0.25 min = 7.5 mi : y min
    thus, writing in fraction,
    0.75/0.25 = 7.5/y
    cross-multiplying,
    0.75y = 0.25*7.5
    y = 2.5 minutes

    hope this helps~ :)

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