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8 September, 13:43

Dave drove 55 mph for part of the trip and 60mph for the rest. The 245 mile trip took him 4 hours 12 minutes. How long did the 2nd part of the trip take? How far did he drive during the 2nd part of his trip?

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  1. 8 September, 14:07
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    Dave drove 168 miles during the 2nd part of the trip

    Step-by-step explanation:

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

    Speed of Dave for part of the trip = 55 mph

    Speed of Dave the rest of the trip = 60 mph

    Total time of the round trip = 4 hours 12 minutes

    Total distance of the trip = 245 miles

    2. How far did Dave drive during the 2nd part of his trip?

    Let's recall that the formula of speed is:

    Speed = Distance/Time, therefore Distance = Speed * Time

    x = Time of part of the trip

    4 hours 12 minutes - x = Time of the rest of the trip

    4.2 hours - x = Time of the rest of the trip

    Now, we can write solve for x, this way:

    55 * x + 60 (4.2 - x) = 245

    55x + 252 - 60x = 245

    -5x = 245 - 252

    -5x = - 7

    x = - 7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8

    1st part of the trip = 55 * 1.4 = 77 miles

    2nd part of the trip = 2.8 * 60 = 168 miles

    Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part
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