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27 July, 15:45

And one day and he traveled five times the sum of the number of hours Brian traveled and 2 together they travel 20 hours find the number of hours each person traveled

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  1. 27 July, 16:13
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    Let X represent the number of hours you travelled

    Let B represent number of hours Brian travelled

    Equation 1 is X + B = 20 (since combination of number of hours you and Brian travelled equal to 20 hours)

    Equation 2 is M = 5B (since you travelled five times more than the amount in which Brian travelled)

    Plug Equation 2 into Equation 1 (replacing M with its value)

    5B + B = 20

    Rearrange equation to make B its subject (find B)

    6B = 20

    6B/6 = 20/6

    B = 3 (1/3)

    Brian travelled a total of 3 (1/3) (three and a third) hours.

    (1/3) of an hour = 60/3 or 60 * (1/3) = 20mins

    Brian travelled a total of 3hrs & 20mins.

    Plug B value back into Equation 1

    M + B = 20

    M + 3 (1/3) = 20

    Rearrange equation to make M its subject (find M)

    M = 20 - 3 (1/3) = 16 (2/3)

    You travelled a total of 16 (2/3) (sixteen and two-thirds) hours.

    (2/3) of an hour = 60/3*2 or 60 * (2/3) = 40mins

    You travelled a total of 16hrs & 40mins.
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