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17 April, 13:37

Kathy and Brian drove a total of 750 miles in 12 hours. Kathy drove the first part of the trip at 65 mph and Brian drove the rest of the trip at 55 mph. For what length of the time did Kathy and Brian drive?

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  1. 17 April, 14:49
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    Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.

    Step-by-step explanation:

    Let's review the information given to us to answer the question correctly:

    Total distance of the trip = 750 miles

    Time of the trip = 12 hours

    Speed of Kathy = 65 mph

    Speed of Brian = 55 mph

    2. For what length of the time did Kathy and Brian drive?

    Let's solve the problem, this way:

    x = Time in hours Kathy drove

    12 - x = Time in hours Brian drove

    Now, let's write our equation to solve for x:

    65x + 55 (12 - x) = 750

    65x + 660 - 55x = 750

    10x = 750 - 660

    10x = 90

    x = 90/10

    x = 9 ⇒ 12 - x = 3

    Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.
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