It takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, Find the dis

Question

It takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, Find the distance traveled.

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Bình An 7 months 2021-08-01T16:49:14+00:00 1 Answers 8 views 0

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    2021-08-01T16:50:16+00:00

    Answer:

    85 mi

    Step-by-step explanation:

    Let d = the distance in miles traveled

    Let M = the time in hours for Maria to travel d miles

    m+\frac{3}{4} = time in hours for Ricky to travel d miles

    (Note that \frac{3}{4} hrs = 45 min)

    ———————-

    Maria’s equation:

    d = 51m

    Ricky’s equation:

    d = 24 · (m+\frac{3}{4} )

    ———————-

    Substitution:

    51m = 24 · (m+\frac{3}{4} )

    51m = 24m + 45

    6m = 10

    m = \frac{5}{3}

    ———————-

    d = 51m

    d = 51 · (\frac{5}{3})

    d = 85

    ———————-

    The distance traveled is 85 mi

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