Lindsay went for a drive. she used 8/3 gallon of gas every 4/5 of an hour. solve for her gallons per hour

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Lindsay went for a drive. she used 8/3 gallon of gas every 4/5 of an hour. solve for her gallons per hour

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    0
    2021-09-19T07:17:23+00:00

    Given that Lindsay went for a drive. she used \frac{8}{3} gallon of gas every \frac{4}{5} of an hour. Now we need to solve for her gallons per hour.

    To find value for 1 unit for any similar problem we just divide one quantity by another quantity

    so we will use same logic here

    \frac{4}{5} of an hour uses \frac{8}{3} gallon of gas

    then 1 hour uses \frac{\left(\frac{8}{3}\right)}{\left(\frac{4}{5}\right)} gallon of gas

    = \frac{8}{3}\cdot\frac{5}{4}

    = \frac{40}{12}

    = \frac{10}{3}

    Hence final answer is \frac{10}{3} gallons per hour.

    0
    2021-09-19T07:17:27+00:00

    A = amount of gas used for the drive = 8/3 gallon

    t = duration of time in which amount of gas A is used =  4/5 hours

    r = rate of gas used

    rate of use of gas is given as the ratio of gas used in the amount of time given.

    hence , rate of gas used is given as

    R = A/t

    inserting the values given above

    R = (8/3)/(4/5)

    R = 8 x 5/(3 x 4)

    R = 40/12

    R = 3.33 gallons per hour

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